Steve Hofmann

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All published works

Action	Title	Year	Authors
+ PDF	Transference of scale-invariant estimates from Lipschitz to nontangentially accessible to uniformly rectifiable domains	2024	Steve Hofmann José María Martell Svitlana Mayboroda
+	Critical Perturbations for Second Order Elliptic Operators—Part II: Non-tangential Maximal Function Estimates	2024	Simon Bortz Steve Hofmann José Luis Luna García Svitlana Mayboroda Bruno Poggi
+	On the Kato Problem for Elliptic Operators in Non-Divergence Form	2024	Luis Escauriaza Pablo Hidalgo-Palencia Steve Hofmann
+ PDF	Carleson measure estimates for caloric functions and parabolic uniformly rectifiable sets	2023	Simon Bortz John W. Hoffman Steve Hofmann José Luis Luna García Kaj Nyström
+ PDF	Regularity and Neumann problems for operators with real coefficients satisfying Carleson conditions	2023	Martin Dindoš Steve Hofmann Jill Pipher
+ PDF Chat	Corona Decompositions for Parabolic Uniformly Rectifiable Sets	2023	Simon Bortz J. William Hoffman Steve Hofmann José Luis Luna-Garcia Kaj Nyström
+ PDF	Perturbation of elliptic operators in 1-sided NTA domains satisfying the capacity density condition	2023	Murat Akman Steve Hofmann José María Martell Tatiana Toro
+	Critical Perturbations for Second Order Elliptic Operators. Part II: Non-tangential maximal function estimates	2023	Simon Bortz Steve Hofmann José Luis Luna García Svitlana Mayboroda Bruno Poggi
+	On the Kato problem for elliptic operators in non-divergence form	2023	Luis Escauriaza Pablo Hidalgo-Palencia Steve Hofmann
+ PDF Chat	Critical perturbations for second-order elliptic operators, I: Square function bounds for layer potentials	2022	Simon Bortz Steve Hofmann José Luis Luna García Svitlana Mayboroda Bruno Poggi
+ PDF	Square function and non-tangential maximal function estimates for elliptic operators in 1-sided NTA domains satisfying the capacity density condition	2022	Murat Akman Steve Hofmann José María Martell Tatiana Toro
+ PDF	Coronizations and big pieces in metric spaces	2022	Simon Bortz John W. Hoffman Steve Hofmann Jose Luis Luna-Garcia Kaj Nyström
+ PDF	On big pieces approximations of parabolic hypersurfaces	2022	Simon Bortz John W. Hoffman Steve Hofmann José Luis Luna-Garcia Kaj Nyström
+ PDF	Correction to: A Weak Reverse Hölder Inequality for Caloric Measure	2022	Alyssa Genschaw Steve Hofmann
+ PDF Chat	$$L^p$$ theory for the square roots and square functions of elliptic operators having a BMO anti-symmetric part	2022	Steve Hofmann Linhan Li Svitlana Mayboroda Jill Pipher
+	Regularity and Neumann problems for operators with real coefficients satisfying Carleson condition	2022	Martin Dindoš Steve Hofmann Jill Pipher
+	Uniform rectifiability implies Varopoulos extensions	2021	Steve Hofmann Olli Tapiola
+ PDF Chat	The Dirichlet problem for elliptic operators having a BMO anti-symmetric part	2021	Steve Hofmann Linhan Li Svitlana Mayboroda Jill Pipher
+ PDF	L2 estimates for commutators of the Dirichlet-to-Neumann Map associated to elliptic operators with complex-valued bounded measurable coefficients on <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.svg"><mml:msubsup><mml:mrow><mml:mi mathvariant="double-struck">R</mml:mi></mml:mrow><mml:mrow><mml:mo linebreak="badbreak" linebreakstyle="after">+</mml:mo></mml:mrow><mml:mrow><mml:mi>n</mml:mi><mml:mo linebreak="badbreak" linebreakstyle="after">+</mml:mo><mml:mn>1</mml:mn></mml…	2021	Steve Hofmann Guoming Zhang
+ PDF	Uniform rectifiability and ε-approximability of harmonic functions in L p	2021	Steve Hofmann Olli Tapiola
+ PDF Chat	Uniform Rectifiability and Elliptic Operators Satisfying a Carleson Measure Condition	2021	Steve Hofmann José María Martell Svitlana Mayboroda Tatiana Toro Zihui Zhao
+	$L^2$ estimates for commutators of the Dirichlet-to-Neumann Map associated to elliptic operators with complex-valued bounded measurable coefficients on $\mathbb{R}^{n+1}_+$	2021	Steve Hofmann Guoming Zhang
+	Corona Decompositions for Parabolic Uniformly Rectifiable Sets	2021	Simon Bortz John P. Hoffman Steve Hofmann José Luis Luna García Kaj Nyström
+	Carleson measure estimates for caloric functions and parabolic uniformly rectifiable sets	2021	Simon Bortz John P. Hoffman Steve Hofmann José Luis Luna García Kaj Nyström
+	Square function and non-tangential maximal function estimates for elliptic operators in 1-sided NTA domains satisfying the capacity density condition	2021	Murat Akman Steve Hofmann José María Martell Tatiana Toro
+	On Big Pieces approximations of parabolic hypersurfaces	2021	Simon Bortz John P. Hoffman Steve Hofmann José Luis Luna-Garcia Kaj Nyström
+ PDF Chat	BMO Solvability and Absolute Continuity of Caloric Measure	2020	Alyssa Genschaw Steve Hofmann
+	Perturbations of elliptic operators in 1-sided chord-arc domains. Part II: Non-symmetric operators and Carleson measure estimates	2020	Juan Cavero Steve Hofmann José María Martell Tatiana Toro
+	Uniform rectifiability implies Varopoulos extensions	2020	Steve Hofmann Olli Tapiola
+	Critical Perturbations for Second Order Elliptic Operators. Part I: Square function bounds for layer potentials	2020	Simon Bortz Steve Hofmann José Luis Luna García Svitlana Mayboroda Bruno Poggi
+ PDF Chat	Nontangential Estimates on Layer Potentials and the Neumann Problem for Higher-Order Elliptic Equations	2020	Ariel Barton Steve Hofmann Svitlana Mayboroda
+	Uniform rectifiability and elliptic operators satisfying a Carleson measure condition	2020	Steve Hofmann José María Martell Svitlana Mayboroda Tatiana Toro Zihui Zhao
+	Uniform rectifiability implies Varopoulos extensions	2020	Steve Hofmann Olli Tapiola
+	Coronizations and big pieces in metric spaces	2020	Simon Bortz John P. Hoffman Steve Hofmann José Luis Luna García Kaj Nyström
+ PDF Chat	Carleson measure estimates and the Dirichlet problem for degenerate elliptic equations	2019	Steve Hofmann Phi Long Le Andrew J. Morris
+ PDF Chat	A Weak Reverse Hölder Inequality for Caloric Measure	2019	Alyssa Genschaw Steve Hofmann
+	Quantitative Absolute Continuity of Harmonic Measure and the Dirichlet Problem: A Survey of Recent Progress	2019	Steve Hofmann
+ PDF Chat	Bounds on layer potentials with rough inputs for higher order elliptic equations	2019	Ariel Barton Steve Hofmann Svitlana Mayboroda
+ PDF Chat	Quantitative Fatou Theorems and Uniform Rectifiability	2019	Simon Bortz Steve Hofmann
+ PDF	Rectifiability, interior approximation and harmonic measure	2019	Murat Akman Simon Bortz Steve Hofmann José María Martell
+	Uniform rectifiability and elliptic operators satisfying a Carleson measure condition. Part II: The large constant case	2019	Steve Hofmann José María Martell Svitlana Mayboroda Tatiana Toro Zihui Zhao
+ PDF	Dirichlet and Neumann boundary values of solutions to higher order elliptic equations	2019	Ariel Barton Steve Hofmann Svitlana Mayboroda
+	BMO Solvability and Absolute Continuity of Caloric Measure	2019	Alyssa Genschaw Steve Hofmann
+	Transference of scale-invariant estimates from Lipschitz to Non-tangentially accessible to Uniformly rectifiable domains	2019	Steve Hofmann José María Martell Svitlana Mayboroda
+	Perturbation of elliptic operators in 1-sided NTA domains satisfying the capacity density condition	2019	Murat Akman Steve Hofmann José María Martell Tatiana Toro
+	A Weak Reverse Holder Inequality for Caloric Measure.	2018	Alyssa Genschaw Steve Hofmann
+	Nontangential estimates on layer potentials and the Neumann problem for higher order elliptic equations	2018	Ariel Barton Steve Hofmann Svitlana Mayboroda
+	Kato square root problem with unbounded leading coefficients	2018	Luis Escauriaza Steve Hofmann
+	Perturbations of elliptic operators in 1-sided chord-arc domains. Part I: Small and large perturbation for symmetric operators	2018	Juan Cavero Steve Hofmann José María Martell
+	Quantitative Fatou Theorems and Uniform Rectifiability	2018	Simon Bortz Steve Hofmann
+	A Weak Reverse Holder Inequality for Caloric Measure	2018	Alyssa Genschaw Steve Hofmann
+	Nontangential estimates on layer potentials and the Neumann problem for higher order elliptic equations	2018	Ariel Barton Steve Hofmann Svitlana Mayboroda
+	Quantitative Fatou Theorems and Uniform Rectifiability	2018	Simon Bortz Steve Hofmann
+	Kato square root problem with unbounded leading coefficients	2017	Luis Escauriaza Steve Hofmann
+	A sufficient geometric criterion for quantitative absolute continuity of harmonic measure	2017	Steve Hofmann José María Martell
+ PDF Chat	BMO Solvability and Absolute Continuity of Harmonic Measure	2017	Steve Hofmann Phi Long Le
+ PDF Chat	The Neumann problem for higher order elliptic equations with symmetric coefficients	2017	Ariel Barton Steve Hofmann Svitlana Mayboroda
+ PDF	A∞ implies NTA for a class of variable coefficient elliptic operators	2017	Steve Hofmann José María Martell Tatiana Toro
+ PDF Chat	The weak-A∞ property of harmonic and p-harmonic measures implies uniform rectifiability	2017	Steve Hofmann Le Dinh Long José María Martell Kaj Nyström
+ PDF Chat	Square function estimates on layer potentials for higher‐order elliptic equations	2017	Ariel Barton Steve Hofmann Svitlana Mayboroda
+	Dirichlet and Neumann boundary values of solutions to higher order elliptic equations	2017	Ariel Barton Steve Hofmann Svitlana Mayboroda
+	The Neumann problem for higher order elliptic equations with symmetric coefficients	2017	Ariel Barton Steve Hofmann Svitlana Mayboroda
+ PDF Chat	A new characterization of chord-arc domains	2017	Jonas Azzam Steve Hofmann José María Martell Kaj Nyström Tatiana Toro
+ PDF	Harmonic measure and approximation of uniformly rectifiable sets	2017	Simon Bortz Steve Hofmann
+	Lp-square Function Estimates on Spaces of Homogeneous Type and on Uniformly Rectifiable Sets	2017	Steve Hofmann Dorina Mitrea Marius Mitrea Andrew J. Morris
+	Uniform rectifiability and $\varepsilon$-approximability of harmonic functions in $L^p$	2017	Steve Hofmann Olli Tapiola
+	Dirichlet and Neumann boundary values of solutions to higher order elliptic equations	2017	Ariel Barton Steve Hofmann Svitlana Mayboroda
+	The Neumann problem for higher order elliptic equations with symmetric coefficients	2017	Ariel Barton Steve Hofmann Svitlana Mayboroda
+	Kato square root problem with unbounded leading coefficients	2017	Luis Escauriaza Steve Hofmann
+	Uniform rectifiability and elliptic operators satisfying a Carleson measure condition. Part I: The small constant case	2017	Steve Hofmann José María Martell Svitlana Mayboroda Tatiana Toro Zihui Zhao
+	The commutator of the Kato square root for second order elliptic operators on ℝ n	2016	Yan Ping Chen Yong Ding Steve Hofmann
+ PDF	GENERALIZED LOCAL THEOREMS FOR SQUARE FUNCTIONS	2016	Ana Grau de la Herrán Steve Hofmann
+ PDF	𝐿^{𝑝}-square function estimates on spaces of homogeneous type and on uniformly rectifiable sets	2016	Steve Hofmann Dorina Mitrea Marius Mitrea Andrew J. Morris
+ PDF Chat	Uniform rectifiability, Carleson measure estimates, and approximation of harmonic functions	2016	Steve Hofmann José María Martell Svitlana Mayboroda
+ PDF Chat	Rectifiability of harmonic measure	2016	Jonas Azzam Steve Hofmann José María Martell Svitlana Mayboroda Mihalis Mourgoglou Xavier Tolsa Alexander Volberg
+ PDF	Harmonic measure is rectifiable if it is absolutely continuous with respect to the co-dimension-one Hausdorff measure	2016	Jonas Azzam Steve Hofmann José María Martell Svitlana Mayboroda Mihalis Mourgoglou Xavier Tolsa Alexander Volberg
+	Rectifiability and elliptic measures on 1-sided NTA domains with Ahlfors-David regular boundaries	2016	Murat Akman Matthew Badger Steve Hofmann José María Martell
+	BMO solvability and absolute continuity of harmonic measure	2016	Steve Hofmann Phi Long Le
+	Square function estimates on layer potentials for higher-order elliptic equations	2015	Ariel Barton Steve Hofmann Svitlana Mayboroda
+ PDF Chat	The method of layer potentials in<i>L<sup>p</sup></i>and endpoint spaces for elliptic operators with<i>L<sup>∞</sup></i>coefficients	2015	Steve Hofmann Marius Mitrea Andrew J. Morris
+	Absolute continuity between the surface measure and harmonic measure implies rectifiability	2015	Steve Hofmann José María Martell Svitlana Mayboroda Xavier Tolsa Alexander Volberg
+	A Singular Integral approach to a Two Phase Free Boundary Problem	2015	Simon Bortz Steve Hofmann
+	Harmonic measure and approximation of uniformly rectifiable sets	2015	Simon Bortz Steve Hofmann
+ PDF	Symbol calculus for operators of layer potential type on Lipschitz surfaces with VMO normals, and related pseudodifferential operator calculus	2015	Steve Hofmann Marius Mitrea Michael E. Taylor
+ PDF Chat	ON STABILITY OF SQUARE ROOT DOMAINS FOR NON‐SELF‐ADJOINT OPERATORS UNDER ADDITIVE PERTURBATIONS	2015	Fritz Gesztesy Steve Hofmann Roger Nichols
+	Uniform Rectifiability and harmonic measure IV: Ahlfors regularity plus Poisson kernels in $L^p$ implies uniform rectifiability	2015	Steve Hofmann José María Martell
+	A Singular Integral approach to a Two Phase Free Boundary Problem	2015	Simon Bortz Steve Hofmann
+	Square function estimates on layer potentials for higher-order elliptic equations	2015	Ariel Barton Steve Hofmann Svitlana Mayboroda
+	Harmonic measure and approximation of uniformly rectifiable sets	2015	Simon Bortz Steve Hofmann
+	Stability of square root domains associated with elliptic systems of PDEs on nonsmooth domains	2014	Fritz Gesztesy Steve Hofmann Roger Nichols
+	Layer potentials and boundary value problems for elliptic equations with complex <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" overflow="scroll"><mml:msup><mml:mrow><mml:mi>L</mml:mi></mml:mrow><mml:mrow><mml:mo>∞</mml:mo></mml:mrow></mml:msup></mml:math> coefficients satisfying the small Carleson measure norm condition	2014	Steve Hofmann Svitlana Mayboroda Mihalis Mourgoglou
+	Stability of square root domains associated with elliptic systems of PDEs on nonsmooth domains	2014	Fritz Gesztesy Steve Hofmann Roger Nichols
+ PDF Chat	The regularity problem for second order elliptic operators with complex-valued bounded measurable coefficients	2014	Steve Hofmann Carlos E. Kenig Svitlana Mayboroda Jill Pipher
+ PDF Chat	Uniform rectifiability and harmonic measure, II: Poisson kernels in Lp imply uniform rectifiability	2014	Steve Hofmann José María Martell Ignacio Uriarte-Tuero
+	Square function/non-tangential maximal function estimates and the Dirichlet problem for non-symmetric elliptic operators	2014	Steve Hofmann Carlos E. Kenig Svitlana Mayboroda Jill Pipher
+ PDF	Square function estimates in spaces of homogeneous type and on uniformly rectifiable Euclidean sets	2014	Andrew J. Morris Marius Mitrea Dorina Mitrea Steve Hofmann
+	Square Function Estimates in Spaces of Homogeneous Type and on Uniformly Rectifiable Euclidean Sets	2014	Steve Hofmann Dorina Mitrea Marius Mitrea Andrew J. Morris
+ PDF Chat	Uniform rectifiability and harmonic measure I: Uniform rectifiability implies Poisson kernels in $L^p$ ,	2014	Steve Hofmann José María Martell
+	Stability of square root domains associated with elliptic systems of PDEs on nonsmooth domains	2014	Fritz Gesztesy Steve Hofmann Roger Nichols
+	Square Function Estimates in Spaces of Homogeneous Type and on Uniformly Rectifiable Euclidean Sets	2014	Steve Hofmann Dorina Mitrea Marius Mitrea Andrew J. Morris
+	On square root domains for non-self-adjoint Sturm-Liouville operators	2013	Fritz Gesztesy Steve Hofmann Roger Nichols
+ PDF Chat	Uniform Rectifiability and Harmonic Measure III: Riesz Transform Bounds Imply Uniform Rectifiability of Boundaries of 1-sided NTA Domains	2013	Steve Hofmann José María Martell Svitlana Mayboroda
+	The Regularity problem for second order elliptic operators with complex-valued bounded measurable coefficients	2013	Steve Hofmann Carlos E. Kenig Svitlana Mayboroda Jill Pipher
+	$L^p$-Square Function Estimates on Spaces of Homogeneous Type and on Uniformly Rectifiable Sets	2013	Steve Hofmann Dorina Mitrea Marius Mitrea Andrew J. Morris
+ PDF	Hardy spaces and regularity for the inhomogeneous Dirichlet and Neumann problems	2013	Xuan Thinh Duong Steve Hofmann Dorina Mitrea Marius Mitrea Lixin Yan
+	Layer potentials and boundary value problems for elliptic equations with complex $L^{\infty}$ coefficients satisfying the small Carleson measure norm condition	2013	Steve Hofmann Svitlana Mayboroda Mihalis Mourgoglou
+	The Regularity problem for second order elliptic operators with complex-valued bounded measurable coefficients	2013	Steve Hofmann Carlos E. Kenig Svitlana Mayboroda Jill Pipher
+	On square root domains for non-self-adjoint Sturm-Liouville operators	2013	Fritz Gesztesy Steve Hofmann Roger Nichols
+	$L^p$-Square Function Estimates on Spaces of Homogeneous Type and on Uniformly Rectifiable Sets	2013	Steve Hofmann Dorina Mitrea Marius Mitrea Andrew J. Morris
+	On Stability of Square Root Domains for Non-Self-Adjoint Operators Under Additive Perturbations	2012	Fritz Gesztesy Steve Hofmann Roger Nichols
+ PDF	Vertical versus conical square functions	2012	Pascal Auscher Steve Hofmann José María Martell
+	Uniform rectifiability and harmonic measure I: Uniform rectifiability implies Poisson kernels in $L^p$	2012	Steve Hofmann José María Martell
+	Square function/non-tangential maximal function estimates and the dirichlet problem for non-symmetric elliptic operators	2012	Steve Hofmann Carlos E. Kenig Svitlana Mayboroda Jill Pipher
+	Uniform rectifiability and harmonic measure I: Uniform rectifiability implies Poisson kernels in $L^p$	2012	Steve Hofmann José María Martell
+ PDF	Vertical versus conical square functions	2012	Pascal Auscher Steve Hofmann José María Martell
+	On Stability of Square Root Domains for Non-Self-Adjoint Operators Under Additive Perturbations	2012	Fritz Gesztesy Steve Hofmann Roger Nichols
+ PDF	Vertical versus conical square functions	2012	Pascal Auscher Steve Hofmann José María Martell
+ PDF	Boundedness and applications of singular integrals and square functions: a survey	2011	Steve Hofmann Alan McIntosh
+	𝐴_{∞} estimates via extrapolation of Carleson measures and applications to divergence form elliptic operators	2011	Steve Hofmann José María Martell
+	Hardy spaces associated to non-negative self-adjoint operators satisfying Davies-Gaffney estimates	2011	Steve Hofmann Guozhen Lu Dorina Mitrea Marius Mitrea Lixin Yan
+ PDF	Second order elliptic operators with complex bounded measurable coefficients in $L^p$, Sobolev and Hardy spaces	2011	Steve Hofmann Svitlana Mayboroda Alan McIntosh
+ PDF	Riesz transforms associated with the Hodge Laplacian in Lipschitz subdomains of Riemannian manifolds	2011	Steve Hofmann Marius Mitrea Sylvie Monniaux
+ PDF	L p −BOUNDS FOR THE RIESZ TRANSFORMS ASSOCIATED WITH THE HODGE LAPLACIAN IN LIPSCHITZ SUBDOMAINS OF RIEMANNIAN MANIFOLDS	2011	Steve Hofmann Marius Mitrea Sylvie Monniaux
+	Analyticity of layer potentials and <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" overflow="scroll"><mml:msup><mml:mi>L</mml:mi><mml:mn>2</mml:mn></mml:msup></mml:math> solvability of boundary value problems for divergence form elliptic equations with complex <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si2.gif" overflow="scroll"><mml:msup><mml:mi>L</mml:mi><mml:mo>∞</mml:mo></mml:msup></mml:math> coefficients	2010	M. Angeles Alfonseca Pascal Auscher Andreas Axelsson Steve Hofmann Seick Kim
+	Second order elliptic operators with complex bounded measurable coefficients in $L^p$, Sobolev and Hardy spaces	2010	Steve Hofmann Svitlana Mayboroda Alan McIntosh
+	A note on $A_\infty$ Estimates Via Extrapolation of Carleson Measures	2010	Steve Hofmann José María Martell
+	Local 𝑇(𝑏) theorems and applications in PDE	2010	Steve Hofmann
+	Second order elliptic operators with complex bounded measurable coefficients in $L^p$, Sobolev and Hardy spaces	2010	Steve Hofmann Svitlana Mayboroda Alan McIntosh
+	Singular Integrals and Elliptic Boundary Problems on Regular Semmes-Kenig-Toro Domains	2009	Steve Hofmann Marius Mitrea Michael Taylor
+	Hardy Spaces, Singular Integrals and The Geometry of Euclidean Domains of Locally Finite Perimeter	2009	Steve Hofmann Emilio Marmolejo‐Olea Marius Mitrea Salvador Pérez‐Esteva Michael E. Taylor
+	Correction to ``Hardy and BMO spaces associated to divergence form elliptic operators"	2009	Steve Hofmann Svitlana Mayboroda
+ PDF Chat	Hardy and BMO spaces associated to divergence form elliptic operators	2008	Steve Hofmann Svitlana Mayboroda
+ PDF	Euclid, Calkin & Wilf — Playing with rationals	2008	Steve Hofmann Gertraud Schuster Jörn Steuding
+ PDF	Dahlberg’s bilinear estimate for solutions of divergence form complex elliptic equations	2008	Steve Hofmann
+	Functional calculus of Dirac operators and complex perturbations of Neumann and Dirichlet problems	2008	Pascal Auscher Andreas Axelsson Steve Hofmann
+	A local 𝑇𝑏 theorem for square functions	2008	Steve Hofmann
+ PDF	Geometric and transformational properties of Lipschitz domains, Semmes-Kenig-Toro domains, and other classes of finite perimeter domains	2007	Steve Hofmann Marius Mitrea Michael E. Taylor
+ PDF Chat	The Green function estimates for strongly elliptic systems of second order	2007	Steve Hofmann Seick Kim
+	Functional calculus of Dirac operators and complex perturbations of Neumann and Dirichlet problems	2007	Pascal Auscher Andreas Axelsson Steve Hofmann
+	A proof of the local $Tb$ Theorem for standard Calderón-Zygmund operators	2007	Steve Hofmann
+	Dahlberg's bilinear estimate for solutions of divergence form complex elliptic equations	2007	Steve Hofmann
+	Functional calculus of Dirac operators and complex perturbations of Neumann and Dirichlet problems	2007	Pascal Auscher Andreas Axelsson Steve Hofmann
+ PDF	Geometric and transformational properties of Lipschitz domains, Semmes-Kenig-Toro domains, and other classes of finite perimeter domains	2007	Steve Hofmann Marius Mitrea Michael Taylor
+	Local Tb theorems and applications in PDE	2006	Steve Hofmann
+	Hardy and BMO spaces associated to divergence form elliptic operators	2006	Steve Hofmann Svitlana Mayboroda
+	Heat kernels and Riesz transforms	2006	Steve Hofmann
+	T1 theorem for Besov and Triebel-Lizorkin spaces	2005	Y.-S. Han Steve Hofmann
+ PDF	The <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" overflow="scroll"><mml:msup><mml:mrow><mml:mi>L</mml:mi></mml:mrow><mml:mrow><mml:mi>p</mml:mi></mml:mrow></mml:msup></mml:math> Neumann problem for the heat equation in non-cylindrical domains	2004	Steve Hofmann John L. Lewis
+	Circular averages and Falconer/Erdös distance conjecture in the plane for random metrics	2004	Steve Hofmann Alex Iosevich
+ PDF	Gaussian estimates for fundamental solutions to certain parabolic systems	2004	Steve Hofmann Seick Kim
+	Caloric measure in parabolic flat domains	2004	Steve Hofmann John L. Lewis Kaj Nyström
+ PDF	Lattice points inside random ellipsoids	2004	Steve Hofmann Alex Iosevich D. Weidinger
+	Riesz transform on manifolds and heat kernel regularity	2004	Pascal Auscher Thierry Coulhon Xuan Thinh Duong Steve Hofmann
+ PDF	Spectral properties of parabolic layer potentials and transmission boundary problems in nonsmooth domains	2003	Steve Hofmann John L. Lewis Marius Mitrea
+ PDF Chat	Sharp rate of average decay of the Fourier transform of a bounded set	2003	Luca Brandolini Steve Hofmann Alex Iosevich
+ PDF	$L^p$ bounds for Riesz transforms and square roots associated to second order elliptic operators	2003	Steve Hofmann José María Martell
+	EXISTENCE OF BIG PIECES OF GRAPHS FOR PARABOLIC PROBLEMS	2003	Steve Hofmann John L. Lewis Kaj Nyström
+	Falconer conjecture in the plane for random metrics	2003	Steve Hofmann Alex Iosevich
+	Sharp rate of average decay of the Fourier transform of a bounded set	2003	Luca Brandolini Steve Hofmann Alex Iosevich
+ PDF	The Solution of the Kato Problem for Divergence Form Elliptic Operators with Gaussian Heat Kernel Bounds	2002	Steve Hofmann Michael T. Lacey Alan McIntosh
+	The Solution of the Kato Square Root Problem for Second Order Elliptic Operators on \Bbb R n	2002	Pascal Auscher Steve Hofmann Michael T. Lacey Alan McIntosh Ph. Tchamitchian
+ PDF	Carleson measures, trees, extrapolation, and T(b) theorems	2002	Pascal Auscher Steve Hofmann Camil Muscalu Terence Tao Christoph Thiele
+ PDF	The solution of the Kato problem in two dimensions	2002	Steve Hofmann Alan McIntosh
+ PDF	Dirichlet problems for a nonstationary linearized system of Navier–Stokes equations in non-cylindrical domains	2002	Steve Hofmann Kaj Nyström
+	The Kato square root problem for higher order elliptic operators and systems on $ \Bbb R^n $	2001	Pascal Auscher Steve Hofmann Alan McIntosh Philippe Tchamitchian
+	The solution of Kato's conjectures	2001	Pascal Auscher Steve Hofmann Michael T. Lacey John L. Lewis Alan McIntosh Philippe Tchamitchian
+	The Dirichlet problem for parabolic operators with singular drift terms	2001	Steve Hofmann John L. Lewis
+ PDF	Extrapolation of Carleson measures and the analyticity of Kato's square-root operators	2001	Pascal Auscher Steve Hofmann John L. Lewis Philippe Tchamitchian
+	Carleson measures, trees, extrapolation, and $T(b)$ theorems	2001	Pascal Auscher Steve Hofmann Camil Muscalu Terence Tao Christoph Thiele
+	The solution of the Kato problem	2001	Steve Hofmann
+ PDF	A Generalized Characterization of Commutators of Parabolic Singular Integrals	1999	Steve Hofmann Xinwei Li Dachun Yang
+ PDF Chat	The Calderón commutator along a parabola	1999	Anthony Carbery Steve Hofmann James Wright
+	An Off-DiagonalT1 Theorem and Applications	1998	Steve Hofmann
+	The Calder\'{o}n Commutator Along a Parabola	1997	Anthony Carbery Steve Hofmann James Wright
+	Parabolic singular integrals of Calderón-type, rough operators, and caloric layer potentials	1997	Steve Hofmann
+	The Calderón Commutator Along a Parabola	1997	Anthony Carbery Steve Hofmann James D. Wright
+	Commutators of parabolic singular integrals	1995	Steve Hofmann
+ PDF	On certain nonstandard Calderón-Zygmund operators	1994	Steve Hofmann
+	T1 Theorems for Besov and Triebel-Lizorkin Spaces	1993	Y.-S. Han Steve Hofmann
+ PDF	A note on weighted Sobolev spaces, and regularity of commutators and layer potentials associated to the heat equation	1993	Steve Hofmann
+ PDF	𝑇1 theorems for Besov and Triebel-Lizorkin spaces	1993	Y.-S. Han Steve Hofmann
+ PDF	A weak molecule condition for certain Triebel-Lizorkin spaces	1992	Steve Hofmann
+ PDF	Singular Integrals with Power Weights	1990	Steve Hofmann
+ PDF	Singular integrals with power weights	1990	Steve Hofmann
+	Weighted Weak-Type (1, 1) Inequalities for Rough Operators	1989	Steve Hofmann
+ PDF	Weighted weak-type $(1,1)$ inequalities for rough operators	1989	Steve Hofmann
+	Weak (1, 1) Boundedness of Singular Integrals with Nonsmooth Kernel	1988	Steve Hofmann
+ PDF	Weak (1,1) boundedness of singular integrals with nonsmooth kernel	1988	Steve Hofmann

Common Coauthors

Coauthor	Papers Together
Svitlana Mayboroda	43
José María Martell	34
Simon Bortz	21
Marius Mitrea	18
Pascal Auscher	14
Ariel Barton	13
Kaj Nyström	13
Tatiana Toro	11
Dorina Mitrea	9
Alan McIntosh	9
Andrew J. Morris	9
Jill Pipher	9
Fritz Gesztesy	8
José Luis Luna García	8
John L. Lewis	7
Murat Akman	6
Alyssa Genschaw	6
Olli Tapiola	5
Roger Nichols	5
Carlos E. Kenig	5
Luis Escauriaza	5
Alex Iosevich	5
Bruno Poggi	4
Andreas Axelsson	4
Zihui Zhao	4
John P. Hoffman	4
Mihalis Mourgoglou	4
Philippe Tchamitchian	3
Seick Kim	3
José Luis Luna-Garcia	3
Phi Long Le	3
Jonas Azzam	3
Michael E. Taylor	3
Anthony Carbery	3
Michael T. Lacey	3
Xavier Tolsa	3
Y.-S. Han	3
Roger Nichols	3
John W. Hoffman	3
Alexander Volberg	3
Terence Tao	2
Pablo Hidalgo-Palencia	2
Martin Dindoš	2
Luca Brandolini	2
Camil Muscalu	2
Juan Cavero	2
Guoming Zhang	2
Sylvie Monniaux	2
James Wright	2
Lixin Yan	2

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	The Solution of the Kato Square Root Problem for Second Order Elliptic Operators on \Bbb R n	2002	Pascal Auscher Steve Hofmann Michael T. Lacey Alan McIntosh Ph. Tchamitchian	54
+	Singular Integrals and Differentiability Properties of Functions.	1971	Elias M. Stein	51
+ PDF	A T(b) theorem with remarks on analytic capacity and the Cauchy integral	1990	Michael Christ	49
+ PDF	Hp spaces of several variables	1972	Charles Fefferman E. M. Stein	47
+	Harmonic Analysis Techniques for Second Order Elliptic Boundary Value Problems	1994	Carlos E. Kenig	43
+ PDF	Extrapolation of Carleson measures and the analyticity of Kato's square-root operators	2001	Pascal Auscher Steve Hofmann John L. Lewis Philippe Tchamitchian	40
+ PDF	The Solution of the Kato Problem for Divergence Form Elliptic Operators with Gaussian Heat Kernel Bounds	2002	Steve Hofmann Michael T. Lacey Alan McIntosh	34
+	L'integrale de Cauchy Definit un Operateur Borne sur L 2 Pour Les Courbes Lipschitziennes	1982	Ronald R. Coifman Alan McIntosh Yves Meyer	32
+	Analyticity of layer potentials and <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" overflow="scroll"><mml:msup><mml:mi>L</mml:mi><mml:mn>2</mml:mn></mml:msup></mml:math> solvability of boundary value problems for divergence form elliptic equations with complex <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si2.gif" overflow="scroll"><mml:msup><mml:mi>L</mml:mi><mml:mo>∞</mml:mo></mml:msup></mml:math> coefficients	2010	M. Angeles Alfonseca Pascal Auscher Andreas Axelsson Steve Hofmann Seick Kim	32
+ PDF	Square root problem for divergence operators and related topics	2018	Pascal Auscher Philippe Tchamitchian	31
+	The method of layer potentials for the heat equation in time-varying domains	1995	John L. Lewis M. A. Murray	29
+	A New Approach to Absolute Continuity of Elliptic Measure, with Applications to Non-symmetric Equations	2000	Carlos E. Kenig Herbert Koch Jill Pipher Tatiana Toro	28
+	Layer potentials and regularity for the Dirichlet problem for Laplace's equation in Lipschitz domains	1984	Gregory C. Verchota	27
+ PDF Chat	Uniform rectifiability and harmonic measure I: Uniform rectifiability implies Poisson kernels in $L^p$ ,	2014	Steve Hofmann José María Martell	27
+	Some new function spaces and their applications to Harmonic analysis	1985	Ronald R. Coifman Yves Meyer E. M. Stein	26
+ PDF	The solution of the Kato problem in two dimensions	2002	Steve Hofmann Alan McIntosh	25
+	Boundary behavior of harmonic functions in non-tangentially accessible domains	1982	David Jerison Carlos E. Kenig	25
+ PDF	Solvability of elliptic systems with square integrable boundary data	2009	Pascal Auscher Andreas Axelsson Alan McIntosh	23
+	Harmonic Measure and Arclength	1990	Christopher J. Bishop Peter W. Jones	22
+	Square function/non-tangential maximal function estimates and the Dirichlet problem for non-symmetric elliptic operators	2014	Steve Hofmann Carlos E. Kenig Svitlana Mayboroda Jill Pipher	22
+	The Dirichlet problem for parabolic operators with singular drift terms	2001	Steve Hofmann John L. Lewis	22
+	Harmonic Analysis: Real-variable Methods, Orthogonality, and Oscillatory Integrals	2002	Elias M. Stein Timothy S Murphy	21
+	Estimates of harmonic measure	1977	Björn E. J. Dahlberg	21
+	The Theory of Weights and the Dirichlet Problem for Elliptic Equations	1991	Robert Fefferman Carlos E. Kenig Jill Pipher	21
+	The neumann problem for elliptic equations with non-smooth coefficients	1993	Carlos E. Kenig Jill Pipher	20
+ PDF Chat	Uniform rectifiability, Carleson measure estimates, and approximation of harmonic functions	2016	Steve Hofmann José María Martell Svitlana Mayboroda	20
+ PDF	Weighted norm inequalities for maximal functions and singular integrals	1974	Ronald R. Coifman Charles Fefferman	20
+ PDF	On the uniform rectifiability of AD-regular measures with bounded Riesz transform operator: the case of codimension 1	2014	Fëdor Nazarov Alexander Volberg Xavier Tolsa	19
+	Regularity Theorems and Heat Kernel for Elliptic Operators	1996	Pascal Auscher	19
+ PDF	Perturbation Theory for Linear Operators	1995	Tosio Kato	19
+ PDF	Weighted maximal regularity estimates and solvability of non-smooth elliptic systems I	2010	Pascal Auscher Andreas Axelsson	19
+ PDF	Area integral estimates for elliptic differential operators with non-smooth coefficients	1984	Björn E. J. Dahlberg David Jerison Carlos E. Kenig	19
+ PDF Chat	Uniform rectifiability and harmonic measure, II: Poisson kernels in Lp imply uniform rectifiability	2014	Steve Hofmann José María Martell Ignacio Uriarte-Tuero	18
+	A Boundedness Criterion for Generalized Calderon-Zygmund Operators	1984	Guy David Jean-Lin Journé	18
+	Interpolations by Bounded Analytic Functions and the Corona Problem	1962	Lennart Carleson	16
+	Functional calculus of Dirac operators and complex perturbations of Neumann and Dirichlet problems	2008	Pascal Auscher Andreas Axelsson Steve Hofmann	16
+	Weighted Norm Inequalities and Related Topics	1985	José Garcı́a-Cuerva J.-L. Rubio de Francia	16
+	Nonlinear Potential Theory of Degenerate Elliptic Equations	2018	Juha Heinonen Tero Kilpeläinen Олли Мартио	16
+ PDF	Layer potentials beyond singular integral operators	2013	Alon Rosen	16
+	Continuity of Solutions of Parabolic and Elliptic Equations	1958	John C. Nash	16
+	The Kato square root problem for higher order elliptic operators and systems on $ \Bbb R^n $	2001	Pascal Auscher Steve Hofmann Alan McIntosh Philippe Tchamitchian	16
+	Layer potentials and boundary value problems for elliptic equations with complex <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" overflow="scroll"><mml:msup><mml:mrow><mml:mi>L</mml:mi></mml:mrow><mml:mrow><mml:mo>∞</mml:mo></mml:mrow></mml:msup></mml:math> coefficients satisfying the small Carleson measure norm condition	2014	Steve Hofmann Svitlana Mayboroda Mihalis Mourgoglou	16
+	Parabolic singular integrals of Calderón-type, rough operators, and caloric layer potentials	1997	Steve Hofmann	15
+ PDF	Polynomial growth estimates for multilinear singular integral operators	1987	Michael Christ Jean-Lin Journé	15
+	On the Hausdorff dimension of harmonic measure in higher dimension	1987	Jean Bourgain	15
+	Necessary and Sufficient Conditions for Absolute Continuity of Elliptic- Harmonic Measure	1984	Eugene B. Fabes David Jerison Carlos E. Kenig	15
+ PDF	Fractional powers of dissipative operators	1961	Tosio Kato	15
+ PDF	The Dirichlet problem for elliptic equations with drift terms	2001	Carlos E. Kenig Jill Pipher	14
+ PDF Chat	The regularity problem for second order elliptic operators with complex-valued bounded measurable coefficients	2014	Steve Hofmann Carlos E. Kenig Svitlana Mayboroda Jill Pipher	14
+ PDF	Extensions of Hardy spaces and their use in analysis	1977	Ronald R. Coifman Guido Weiss	14