Damian Dąbrowski

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All published works

Action	Title	Year	Authors
+ PDF Chat	Analytic capacity and dimension of sets with plenty of big projections	2024	Damian Dąbrowski Michele Villa
+ PDF Chat	On the dimension of $s$-Nikod\'ym sets	2024	Damian Dąbrowski Max Goering Tuomas Orponen
+ PDF Chat	Structure of sets with nearly maximal Favard length	2024	Alan L. Chang Damian Dąbrowski Tuomas Orponen Michele Villa
+	How much can heavy lines cover?	2024	Damian Dąbrowski Tuomas Orponen Hong Wang
+ PDF Chat	The measures with $L^2$-bounded Riesz transform and the Painlev\'e problem	2024	Damian Dąbrowski Xavier Tolsa
+ PDF Chat	An $\alpha$-number characterization of $L^p$ spaces on uniformly rectifiable sets	2023	Jonas Azzam Damian Dąbrowski
+ PDF Chat	Necessary condition for the <i>L</i><sup>2</sup> boundedness of the Riesz transform on Heisenberg groups	2023	Damian Dąbrowski Michele Villa
+	Visible parts and slices of Ahlfors regular sets	2023	Damian Dąbrowski
+	How much can heavy lines cover?	2023	Damian Dąbrowski Tuomas Orponen Hong Wang
+	Integrability of orthogonal projections, and applications to Furstenberg sets	2022	Damian Dąbrowski Tuomas Orponen Michele Villa
+ PDF Chat	Two examples related to conical energies	2022	Damian Dąbrowski
+	Structure of sets with nearly maximal Favard length	2022	Alan L. Chang Damian Dąbrowski Tuomas Orponen Michele Villa
+	Analytic capacity and dimension of sets with plenty of big projections	2022	Damian Dąbrowski Michele Villa
+	Quantitative Besicovitch projection theorem for irregular sets of directions	2022	Damian Dąbrowski
+ PDF Chat	Cones, rectifiability, and singular integral operators	2021	Damian Dąbrowski
+	The measures with $L^2$-bounded Riesz transform satisfying a subcritical Wolff-type energy condition	2021	Damian Dąbrowski Xavier Tolsa
+ PDF Chat	Sufficient Condition for Rectifiability Involving Wasserstein Distance $$W_2$$	2021	Damian Dąbrowski
+	Integrability of orthogonal projections, and applications to Furstenberg sets	2021	Damian Dąbrowski Tuomas Orponen Michele Villa
+	The measures with $L^2$-bounded Riesz transform satisfying a subcritical Wolff-type energy condition	2021	Damian Dąbrowski Xavier Tolsa
+	Two examples related to conical energies	2020	Damian Dąbrowski
+	Cones, rectifiability, and singular integral operators	2020	Damian Dąbrowski
+ PDF Chat	Necessary Condition for Rectifiability Involving Wasserstein Distance W2	2020	Damian Dąbrowski
+	Two examples related to conical energies	2020	Damian Dąbrowski
+	An $α$-number characterization of $L^{p}$ spaces on uniformly rectifiable sets	2020	Jonas Azzam Damian Dąbrowski
+	Cones, rectifiability, and singular integral operators	2020	Damian Dąbrowski
+	Necessary condition for the $L^2$ boundedness of the Riesz transform on Heisenberg groups	2020	Damian Dąbrowski Michele Villa
+ PDF Chat	Characterization of Sobolev-Slobodeckij spaces using geometric curvature energies	2019	Damian Dąbrowski
+	Characterization of Sobolev-Slobodeckij spaces using geometric curvature energies	2017	Damian Dąbrowski

Common Coauthors

Coauthor	Papers Together
Michele Villa	8
Tuomas Orponen	7
Xavier Tolsa	3
Jonas Azzam	2
Alan L. Chang	2
Hong Wang	2
Max Goering	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+ PDF Chat	Characterization of n-rectifiability in terms of Jones’ square function: Part II	2015	Jonas Azzam Xavier Tolsa	9
+ PDF Chat	Mass Transport and Uniform Rectifiability	2012	Xavier Tolsa	7
+	Analytic Capacity, the Cauchy Transform, and Non-homogeneous Calderón–Zygmund Theory	2013	Xavier Tolsa	7
+ PDF Chat	Analytic capacity and projections	2020	Alan Chang Xavier Tolsa	7
+	Geometry of Sets and Measures in Euclidean Spaces	1995	Pertti Mattila	6
+ PDF Chat	Rectifiable measures, square functions involving densities, and the Cauchy transform	2016	Xavier Tolsa	6
+ PDF Chat	Uniform rectifiability, Calderón-Zygmund operators with odd kernel, and quasiorthogonality	2008	Xavier Tolsa	5
+ PDF Chat	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	5
+ PDF Chat	Multiscale analysis of 1-rectifiable measures: necessary conditions	2014	Matthew Badger Raanan Schul	5
+ PDF Chat	Absolute continuity and α-numbers on the real line	2018	Tuomas Orponen	5
+	Rectifiable sets and the Traveling Salesman Problem	1990	Peter W. Jones	5
+ PDF Chat	Wasserstein distance and the rectifiability of doubling measures: part I	2015	Jonas Azzam Guy David Tatiana Toro	5
+	A Set with Finite Curvature and Projections of Zero Length	2000	Helen de Silva Joyce Peter Mörters	5
+ PDF Chat	Quantitative rectifiability and Lipschitz mappings	1993	Guy David Stephen Semmes	5
+	Multiscale Analysis of 1-rectifiable Measures II: Characterizations	2017	Matthew Badger Raanan Schul	4
+ PDF Chat	Necessary Condition for Rectifiability Involving Wasserstein Distance W2	2020	Damian Dąbrowski	4
+ PDF Chat	Characterization of n-rectifiability in terms of Jones’ square function: part I	2015	Xavier Tolsa	4
+	Boundedness of the density normalised Jones' square function does not imply 1-rectifiability	2017	Henri Martikainen Tuomas Orponen	4
+ PDF Chat	Plenty of big projections imply big pieces of Lipschitz graphs	2021	Tuomas Orponen	4
+ PDF Chat	Rectifiability via a Square Function and Preiss’ Theorem	2014	Xavier Tolsa Tatiana Toro	4
+	Quantifying curvelike structures of measures by using <i>L</i><sub>2</sub> Jones quantities	2003	Gilad Lerman	4
+ PDF Chat	Two sufficient conditions for rectifiable measures	2015	Matthew Badger Raanan Schul	4
+ PDF Chat	Rectifiability of measures and the $\beta_p$ coefficients	2019	Xavier Tolsa	4
+ PDF Chat	Removable sets for Lipschitz harmonic functions in the plane	2000	Guy C. David Pertti Mattila	4
+	Fourier Analysis and Hausdorff Dimension	2015	Pertti Mattila	4
+ PDF Chat	Generalized rectifiability of measures and the identification problem	2019	Matthew Badger	4
+ PDF Chat	Morceaux de Graphes Lipschitziens et Intégrales Singulières sur une Surface	1988	Guy David	3
+	The Cauchy Integral, Analytic Capacity, and Uniform Rectifiability	1996	Pertti Mattila Mark Melnikov Joan Verdera	3
+	None	1997	Fëdor Nazarov Sergei Treil Alexander Volberg	3
+ PDF Chat	Subsets of rectifiable curves in Hilbert space-the analyst’s TSP	2007	Raanan Schul	3
+	Quantitative Reifenberg theorem for measures	2016	Nick Edelen Aaron Naber Daniele Valtorta	3
+	Quantitative Reifenberg theorem for measures	2016	Nick Edelen Aaron Naber Daniele Valtorta	3
+	Geometric conditions for the $L^2$-boundedness of singular integral operators with odd kernels with respect to measures with polynomial growth in $\mathbb{R}^d$	2015	Daniel Girela-Sarrión	3
+	Classical Fourier Analysis	2014	Loukas Grafakos	3
+ PDF Chat	Characterising the big pieces of Lipschitz graphs property using projections	2018	Henri Martikainen Tuomas Orponen	3
+	Geometric conditions for the L2-boundedness of singular integral operators with odd kernels with respect to measures with polynomial growth in ℝd	2018	Daniel Girela-Sarrión	3
+ PDF Chat	A T(b) theorem with remarks on analytic capacity and the Cauchy integral	1990	Michael Christ	3
+	Characterization of rectifiable measures in terms of 𝛼-numbers	2020	Jonas Azzam Xavier Tolsa Tatiana Toro	3
+	Failure of $$L^2$$ L 2 boundedness of gradients of single layer potentials for measures with zero low density	2018	José M. Conde-Alonso Mihalis Mourgoglou Xavier Tolsa	2
+ PDF Chat	Semi-Uniform Domains and the <i>A</i>∞ Property for Harmonic Measure	2019	Jonas Azzam	2
+ PDF Chat	The Riesz transform, rectifiability, and removability for Lipschitz harmonic functions	2014	Fëdor Nazarov Xavier Tolsa Alexander Volberg	2
+ PDF Chat	How likely is Buffon’s needle to fall near a planar Cantor set?	2002	Yuval Peres Boris Solomyak	2
+ PDF Chat	A doubling measure on $\mathbb {R}^d$ can charge a rectifiable curve	2010	John B. Garnett Rowan Killip Raanan Schul	2
+	Distribution of Sets and Measures Along Planes	1988	Pertti Mattila	2
+ PDF Chat	Bilipschitz maps, analytic capacity, and the Cauchy integral	2005	Xavier Tolsa	2
+	Characterization of rectifiable measures in terms of $\alpha$-numbers	2018	Jonas Azzam Xavier Tolsa Tatiana Toro	2
+ PDF Chat	Wasserstein distance and the rectifiability of doubling measures: part II	2016	Jonas Azzam Guy David Tatiana Toro	2
+	Singular Integrals and Differentiability Properties of Functions.	1971	Elias M. Stein	2
+	Harmonic measure,L 2-estimates and the Schwarzian derivative	1994	C. J. Bishop Peter W. Jones	2
+	Geometry of Measures in R n : Distribution, Rectifiability, and Densities	1987	David Preiss	2