Rodolfo H. Torres

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All published works

Action	Title	Year	Authors
+	An Update on the Compactness of Bilinear Commutators	2025	Árpád Bényi Rodolfo H. Torres
+ PDF Chat	Symbolic calculus for a class of pseudodifferential operators with applications to compactness	2024	Árpád Bényi Tadahiro Oh Rodolfo H. Torres
+ PDF Chat	Compact bilinear operators and paraproducts revisited	2024	Árpád Bényi Guopeng Li Tadahiro Oh Rodolfo H. Torres
+ PDF Chat	Compact $T(1)$ theorem \`a la Stein	2024	Árpád Bényi Guopeng Li Tadahiro Oh Rodolfo H. Torres
+ PDF Chat	Compact bilinear operators and paraproducts revisited	2024	Árpád Bényi Guopeng Li Tadahiro Oh Rodolfo H. Torres
+ PDF Chat	Extrapolation of compactness for certain pseudodifferential operators	2023	Marı́a J. Carro Javier Soria Rodolfo H. Torres
+	The sampling theorem, φ-transform, and Shannon wavelets for ℝ, ℤ, T, and ℤN	2021	Michael Frazier Rodolfo H. Torres
+ PDF Chat	Correction to: Guido Weiss: From Immigrant Boy to Internationally Renowned Mathematician	2021	Susan E. Kelly Rodolfo H. Torres
+	Guido Weiss: From Immigrant Boy to Internationally Renowned Mathematician	2021	Susan E. Kelly Rodolfo H. Torres
+	On compactness of commutators of multiplication and bilinear pseudodifferential operators and a new subspace of BMO	2020	Rodolfo H. Torres Qingying Xue
+	Almost-Orthogonality in Fourier Analysis: From Discrete Characterizations of Function Spaces, to Singular Integrals, to Leibniz Rules for Fractional Derivatives	2020	Rodolfo H. Torres
+ PDF Chat	Boundedness results for commutators with BMO functions via weighted estimates: a comprehensive approach	2019	Árpád Bényi José María Martell Kabe Moen Eric Stachura Rodolfo H. Torres
+	Compact bilinear commutators: the quasi-Banach space case	2018	Rodolfo H. Torres Qingying Xue Jingquan Yan
+ PDF Chat	John–Nirenberg Inequalities and Weight Invariant BMO Spaces	2018	Jarod Hart Rodolfo H. Torres
+	Regularity and Approximation Results for the Maxwell Problem on C1 and Lipschitz Domains	2018	Marius Mitrea Rodolfo H. Torres Grant V. Welland
+	Characterization of compactness of commutators of bilinear singular integral operators	2017	Lucas Chaffee Peng Chen Yanchang Han Rodolfo H. Torres Lesley A. Ward
+	Characterization of compactness of commutators of bilinear singular integral operators	2017	Lucas Chaffee Peng Chen Yanchang Han Rodolfo H. Torres Lesley A. Ward
+	John-Nirenberg Inequalities and Weight Invariant BMO Spaces	2017	Jarod Hart Rodolfo H. Torres
+	Smoothing properties of bilinear operators and Leibniz-type rules in Lebesgue and mixed Lebesgue spaces	2017	Jarod Hart Rodolfo H. Torres Xinfeng Wu
+	Multilinear Weighted Norm Inequalities Under Integral Type Regularity Conditions	2017	Lucas Chaffee Rodolfo H. Torres Xinfeng Wu
+	Smoothing Properties of Bilinear Operators and Leibniz-Type Rules in Lebesgue and Mixed Lebesgue Spaces	2017	Jarod Hart Rodolfo H. Torres Xinfeng Wu
+	The discrete Calderón reproducing formula of Frazier and Jawerth	2017	Árpád Bényi Rodolfo H. Torres
+	Characterization of compactness of commutators of bilinear singular integral operators	2017	Lucas Chaffee Peng Chen Yanchang Han Rodolfo H. Torres Lesley A. Ward
+	John-Nirenberg Inequalities and Weight Invariant BMO Spaces	2017	Jarod Hart Rodolfo H. Torres
+	Cora Sadosky: Her Mathematics, Mentorship, and Professional Contributions	2016	Rodolfo H. Torres
+ PDF Chat	Characterization of Compactness of the Commutators of Bilinear Fractional Integral Operators	2015	Lucas Chaffee Rodolfo H. Torres
+	Leibniz’s Rule, Sampling and Wavelets on Mixed Lebesgue Spaces	2015	Rodolfo H. Torres Erika L. Ward
+ PDF Chat	Compactness properties of commutators of bilinear fractional integrals	2015	Árpád Bényi Wendolín Damián Kabe Moen Rodolfo H. Torres
+	Compact bilinear commutators: The weighted case	2015	Árpád Bényi Wendolín Damián Kabe Moen Rodolfo H. Torres
+	Why I Became a Mathematician	2015	Rodolfo H. Torres
+	Characterization of compactness of the commutators of bilinear fractional integral operators	2014	Lucas Chaffee Rodolfo H. Torres
+ PDF Chat	Minimal regularity conditions for the end-point estimate of bilinear Calderón-Zygmund operators	2014	Carlos Pérez Rodolfo H. Torres
+	Characterization of compactness of the commutators of bilinear fractional integral operators	2014	Lucas Chaffee Rodolfo H. Torres
+	Compact bilinear commutators: the weighted case	2013	Árpád Bényi Wendolín Damián Kabe Moen Rodolfo H. Torres
+	Compactness properties of commutators of bilinear fractional integrals	2013	Árpád Bényi Wendolín Damián Kabe Moen Rodolfo H. Torres
+ PDF Chat	End-point estimates for iterated commutators of multilinear singular integrals	2013	Carlos Pérez Gladis Pradolini Rodolfo H. Torres Rodrigo Trujillo‐González
+	Compact bilinear operators and commutators	2013	Árpád Bényi Rodolfo H. Torres
+ PDF Chat	On the Hormander classes of bilinear pseudodifferential operators II	2013	Árpád Bényi Frédéric Bernicot Diego Maldonado Virginia Naibo Rodolfo H. Torres
+	Compact bilinear commutators: the weighted case	2013	Árpád Bényi Wendolín Damián Kabe Moen Rodolfo H. Torres
+	Compactness properties of commutators of bilinear fractional integrals	2013	Árpád Bényi Wendolín Damián Kabe Moen Rodolfo H. Torres
+ PDF Chat	Rubio de Francia's extrapolation theory: estimates for the distribution function	2012	Marı́a J. Carro Javier Soria Rodolfo H. Torres
+ PDF Chat	Sobolev space estimates for a class of bilinear pseudodifferential operators lacking symbolic calculus	2011	Frédéric Bernicot Rodolfo H. Torres
+	On the H\"ormander classes of bilinear pseudodifferential operators II	2011	Árpád Bényi Frédéric Bernicot Diego Maldonado Virginia Naibo Rodolfo H. Torres
+	On the Hörmander classes of bilinear pseudodifferential operators II	2011	Árpád Bényi Frédéric Bernicot Diego Maldonado Virginia Naibo Rodolfo H. Torres
+ PDF Chat	The Multilinear Strong Maximal Function	2010	Loukas Grafakos Liguang Liu Carlos Pérez Rodolfo H. Torres
+ PDF Chat	Bilinear paraproducts revisited	2010	Árpád Bényi Diego Maldonado Andrea R. Nahmod Rodolfo H. Torres
+ PDF Chat	Sharp weighted bounds for fractional integral operators	2010	Michael T. Lacey Kabe Moen Carlos Pérez Rodolfo H. Torres
+ PDF Chat	On the Hörmander Classes of Bilinear Pseudodifferential Operators	2010	Árpád Bényi Diego Maldonado Virginia Naibo Rodolfo H. Torres
+	On the Hörmander Classes of Bilinear Pseudodiffe rential Operators	2010	Árpád Bényi Diego Maldonado Virginia Naibo Rodolfo H. Torres
+ PDF Chat	Modulation invariant bilinear T(1) theorem	2009	Árpád Bényi Ciprian Demeter Andrea R. Nahmod Christoph Thiele Rodolfo H. Torres Paco Villarroya
+	Sharp weighted bounds for fractional integral operators	2009	Michael T. Lacey Kabe Moen Carlos Pérez Rodolfo H. Torres
+	MULTILINEAR SINGULAR INTEGRAL OPERATORS WITH VARIABLE COEFFICIENTS	2009	Rodolfo H. Torres
+	On the Hörmander classes of bilinear pseudodifferential operators	2009	Árpád Bényi Diego Maldonado Virginia Naibo Rodolfo H. Torres
+	Sharp weighted bounds for fractional integral operators	2009	Michael T. Lacey Kabe Moen Carlos A. Pérez Rodolfo H. Torres
+ PDF Chat	New maximal functions and multiple weights for the multilinear Calderón–Zygmund theory	2008	Andrei K. Lerner Sheldy Ombrosi Carlos Pérez Rodolfo H. Torres Rodrigo Trujillo‐González
+	Harmonic Analysis, Partial Differential Equations, and Related Topics	2007	Estela A. Gavosto M. Korten Charles N. Moore Rodolfo H. Torres
+	Modulation invariant bilinear T(1) theorem	2007	Árpád Bényi Ciprian Demeter Andrea R. Nahmod Christoph Thiele Rodolfo H. Torres Paco Villarroya
+	Harmonic analysis, partial differential equations, and related topics : fifth annual Prairie Analysis Seminar, October 14-15, 2005, Kansas State University, Manhattan, Kansas	2007	Estela A. Gavosto M. Korten Charles N. Moore Rodolfo H. Torres
+	Sobolev space estimates and symbolic calculus for bilinear pseudodifferential operators	2006	Árpád Bényi Andrea R. Nahmod Rodolfo H. Torres
+	CALDERÓN–ZYGMUND OPERATORS ON MIXED LEBESGUE SPACES AND APPLICATIONS TO NULL FORMS	2004	Atanas Stefanov Rodolfo H. Torres
+ PDF Chat	Almost orthogonality and a class of bounded bilinear pseudodifferential operators	2004	Árpád Bényi Rodolfo H. Torres
+	Uniqueness in the Inverse Conductivity Problem for Conductivities with 3/2 Derivatives in L p , p > 2 n	2003	R. M. Brown Rodolfo H. Torres
+	Decomposition of <i>Ḃ</i><sub>0,1</sub><sup>1</sup> (ℤ) into special atoms	2003	Santiago Boza Rodolfo H. Torres
+	Symbolic Calculus and the Transposes of Bilinear Pseudodifferential Operators	2003	Árpád Bényi Rodolfo H. Torres
+	Sharp maximal function estimates for multilinear singular integrals	2003	Carlos Pérez Rodolfo H. Torres
+ PDF Chat	On multilinear singular integrals of Calderón-Zygmund type	2002	Loukas Grafakos Rodolfo H. Torres
+	Maximal operator and weighted norm inequalities for multilinear singular integrals	2002	Loukas Grafakos Rodolfo H. Torres
+	Multilinear Calderón–Zygmund Theory	2002	Loukas Grafakos Rodolfo H. Torres
+	A Multilinear Schur Test and Multiplier Operators	2001	Loukas Grafakos Rodolfo H. Torres
+ PDF Chat	Discrete decompositions for bilinear operators and almost diagonal conditions	2001	Loukas Grafakos Rodolfo H. Torres
+ PDF Chat	Pseudodifferential operators with homogeneous symbols.	1999	Loukas Grafakos Rodolfo H. Torres
+	Mean oscillation of functions and the Paley-Wiener space	1998	Rodolfo H. Torres
+	Maxwell's Equations and Dielectric Obstacles with Lipschitz Boundaries	1998	Rodolfo H. Torres
+ PDF Chat	A Transmission Problem in the Scattering of Electromagnetic Waves by a Penetrable Object	1996	Rodolfo H. Torres
+ PDF Chat	Layer potential operators and a space of boundary data for electromagnetism in nonsmooth domains.	1996	Rodolfo H. Torres Grant V. Welland
+	A boundary integral method for parabolic equations in non‐smooth domains	1994	Vilhelm Adolfsson Björn Jawerth Rodolfo H. Torres
+	Boundedness results for operators with singular kernels on distribution spaces	1991	Rodolfo H. Torres
+ PDF Chat	Spaces of sequences, sampling theorem, and functions of exponential type	1991	Rodolfo H. Torres
+	Singular integral equations, spaces of homogeneous type and boundary elements in non-smooth domains	1991	Vilhelm Adolfsson Björn Jawerth Rodolfo H. Torres
+	Continuity Properties of Pseudodifferential Operators of Type 1,1	1990	Rodolfo H. Torres
+ PDF Chat	The Boundedness of Calderón-Zygmund Operators on the Spaces $\dot{F}^{\alpha, q}_p$	1988	Michael Frazier Rodolfo H. Torres Guido Weiss

Common Coauthors

Coauthor	Papers Together
Árpád Bényi	26
Kabe Moen	10
Lucas Chaffee	7
Diego Maldonado	7
Carlos Pérez	7
Loukas Grafakos	7
Wendolín Damián	6
Virginia Naibo	6
Jarod Hart	5
Frédéric Bernicot	4
Tadahiro Oh	4
Andrea R. Nahmod	4
Michael T. Lacey	3
Xinfeng Wu	3
Yanchang Han	3
Lesley A. Ward	3
Charles N. Moore	2
Christoph Thiele	2
Qingying Xue	2
M. Korten	2
Estela A. Gavosto	2
Ciprian Demeter	2
Javier Soria	2
Vilhelm Adolfsson	2
Peng Chen	2
Rodrigo Trujillo‐González	2
Marı́a J. Carro	2
Paco Villarroya	2
Grant V. Welland	2
Guopeng Li	2
Björn Jawerth	2
Michael Frazier	2
Susan E. Kelly	2
Gladis Pradolini	1
José María Martell	1
Guopeng Li	1
Jingquan Yan	1
Guido Weiss	1
R. M. Brown	1
Marius Mitrea	1
Sheldy Ombrosi	1
Carlos A. Pérez	1
Atanas Stefanov	1
Erika L. Ward	1
Peng Chen	1
Andrei K. Lerner	1
Liguang Liu	1
Eric Stachura	1
Santiago Boza	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	Multilinear Calderón–Zygmund Theory	2002	Loukas Grafakos Rodolfo H. Torres	29
+ PDF Chat	Multilinear estimates and fractional integration	1999	Carlos E. Kenig Elias M. Stein	20
+	Harmonic Analysis: Real-variable Methods, Orthogonality, and Oscillatory Integrals	2002	Elias M. Stein Timothy S Murphy	19
+	Factorization Theorems for Hardy Spaces in Several Variables	1976	Ronald R. Coifman Richard Rochberg Guido Weiss	18
+ PDF Chat	New maximal functions and multiple weights for the multilinear Calderón–Zygmund theory	2008	Andrei K. Lerner Sheldy Ombrosi Carlos Pérez Rodolfo H. Torres Rodrigo Trujillo‐González	18
+ PDF Chat	Polynomial growth estimates for multilinear singular integral operators	1987	Michael Christ Jean-Lin Journé	17
+	Sharp maximal function estimates for multilinear singular integrals	2003	Carlos Pérez Rodolfo H. Torres	16
+	A discrete transform and decompositions of distribution spaces	1990	Michael Frazier Björn Jawerth	15
+ PDF Chat	On commutators of singular integrals and bilinear singular integrals	1975	Ronald R. Coifman Yves Meyer	15
+	Maximal operator and weighted norm inequalities for multilinear singular integrals	2002	Loukas Grafakos Rodolfo H. Torres	14
+	Compact bilinear operators and commutators	2013	Árpád Bényi Rodolfo H. Torres	12
+	On Calderon's Conjecture	1999	Michael T. Lacey Christoph Thiele	12
+	L p Estimates on the Bilinear Hilbert Transform for 2 < p < &#8734	1997	Michael T. Lacey Christoph Thiele	12
+ PDF Chat	Commutateurs d'intégrales singulières et opérateurs multilinéaires	1978	Ronald R. Coifman Yves Meyer	12
+ PDF Chat	On the compactness of operators of Hankel type	1978	Akihito Uchiyama	12
+	Weighted estimates for vector-valued commutators of multilinear operators	2008	Lin Tang	12
+ PDF Chat	Weighted inequalities for multilinear fractional integral operators	2009	Kabe Moen	11
+	A Boundedness Criterion for Generalized Calderon-Zygmund Operators	1984	Guy David Jean-Lin Journé	11
+	Boundedness results for operators with singular kernels on distribution spaces	1991	Rodolfo H. Torres	10
+	Multi-linear operators given by singular multipliers	2001	Camil Muscalu Terence Tao Christoph Thiele	10
+ PDF Chat	Littlewood-Paley Theory and the Study of Function Spaces	1991	Michael Frazier Björn Jawerth Guido Weiss	10
+ PDF Chat	Weighted norm inequalities for maximal functions and singular integrals	1974	Ronald R. Coifman Charles Fefferman	9
+	Theory of function spaces	1983	Hans Triebel	9
+	On Calder\'on's conjecture	1999	Michael T. Lacey Christoph Thiele	9
+	Commutator estimates and the euler and navier‐stokes equations	1988	Tosio Kato Gustavo Ponce	9
+	Dispersion of small amplitude solutions of the generalized Korteweg-de Vries equation	1991	Francis Michael Christ Michael I. Weinstein	9
+	Well‐posedness and scattering results for the generalized korteweg‐de vries equation via the contraction principle	1993	Carlos E. Kenig Gustavo Ponce Luis Vega	8
+	Singular Integrals and Differentiability Properties of Functions.	1971	Elias M. Stein	8
+ PDF Chat	Boundedness of Bilinear Operators with nonsmooth symbols	2000	John E. Gilbert Andrea R. Nahmod	8
+	Symbolic Calculus and the Transposes of Bilinear Pseudodifferential Operators	2003	Árpád Bényi Rodolfo H. Torres	8
+ PDF Chat	Hp spaces of several variables	1972	Charles Fefferman E. M. Stein	8
+ PDF Chat	Bilinear operators with non-smooth symbol, I	2001	John E. Gilbert Andrea R. Nahmod	7
+	Compactness of Commutators of Riesz Potential on Morrey Spaces	2009	Yanping Chen Yong Ding Xinxia Wang	7
+	Une algebre maximale d'operateurs pseudo-differentiels d'operateurs pseudo-differentiels	1988	Gérard Bourdaud	7
+	Some Maximal Inequalities	1971	Charles Fefferman E. M. Stein	7
+	Weighted Norm Inequalities and Related Topics	1985	José Garcı́a-Cuerva J.-L. Rubio de Francia	6
+ PDF Chat	Weighted norm inequalities for fractional integrals	1974	Benjamin Muckenhoupt Richard L. Wheeden	6
+ PDF Chat	On multilinear singular integrals of Calderón-Zygmund type	2002	Loukas Grafakos Rodolfo H. Torres	6
+	Weighted Norm Inequalities for Paraproducts and Bilinear Pseudodifferential Operators with Mild Regularity	2008	Diego Maldonado Virginia Naibo	6
+	Weighted estimates for a class of multilinear fractional type operators	2009	Xi Chen Qingying Xue	6
+	Extrapolation of Weighted norm inequalities for multivariable operators and applications	2004	Loukas Grafakos José María Martell	6
+ PDF Chat	Extensions of Hardy spaces and their use in analysis	1977	Ronald R. Coifman Guido Weiss	6
+	Weighted estimates for Beltrami equations	2013	Albert Clop Victor Cruz	6
+ PDF Chat	Discrete decompositions for bilinear operators and almost diagonal conditions	2001	Loukas Grafakos Rodolfo H. Torres	6
+	Theory of Function Spaces	1983	Hans Triebel	6
+ PDF Chat	Bilinear operators and the Jacobian-determinant on Besov spaces	1996	Abdellah Youssfi	5
+	Some remarks on multilinear maps and interpolation	2001	Loukas Grafakos N. J. Kalton	5
+ PDF Chat	Modulation invariant bilinear T(1) theorem	2009	Árpád Bényi Ciprian Demeter Andrea R. Nahmod Christoph Thiele Rodolfo H. Torres Paco Villarroya	5
+	Sobolev space estimates and symbolic calculus for bilinear pseudodifferential operators	2006	Árpád Bényi Andrea R. Nahmod Rodolfo H. Torres	5
+ PDF Chat	Bi-parameter paraproducts	2004	Camil Muscalu Jill Pipher Terence Tao Christoph Thiele	5