Harmonic measure is rectifiable if it is absolutely continuous with respect to the co-dimension-one Hausdorff measure

Jonas Azzam, Steve Hofmann, José María Martell, Svitlana Mayboroda, Mihalis Mourgoglou, Xavier Tolsa, Alexander Volberg

Type: Article

Publication Date: 2016-03-03

Citations: 2

DOI: https://doi.org/10.1016/j.crma.2016.01.012

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Comptes Rendus Mathématique - View - PDF
arXiv (Cornell University) - View - PDF
DIGITAL.CSIC (Spanish National Research Council (CSIC)) - View - PDF
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Works Cited by This (20)

Action	Title	Year	Authors
+	On the distortion of sets on a Jordan curve under conformal mapping	1973	Lennart Carleson
+	Singular sets for harmonic measure on locally flat domains with locally finite surface measure	2015	Jonas Azzam Mihalis Mourgoglou Xavier Tolsa
+ PDF Chat	Principal values for the Cauchy integral and rectifiability	2000	Xavier Tolsa
+	Absolute continuity between the surface measure and harmonic measure implies rectifiability	2015	Steve Hofmann José María Martell Svitlana Mayboroda Xavier Tolsa Alexander Volberg
+	On the Hausdorff dimension of harmonic measure in higher dimension	1987	Jean Bourgain
+	Harmonic Measure and Arclength	1990	Christopher J. Bishop Peter W. Jones
+ PDF Chat	Removable sets for Lipschitz harmonic functions in the plane	2000	Guy C. David Pertti Mattila
+ PDF Chat	Hausdorff dimension of harmonic measures in the plane	1988	Peter W. Jones Thomas Wolff
+ 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
+ PDF Chat	Menger Curvature and Rectifiability	1999	Jean-Christophe Léger