Absolute continuity between the surface measure and harmonic measure implies rectifiability

Steve Hofmann, José María Martell, Svitlana Mayboroda, Xavier Tolsa, Alexander Volberg

Type: Preprint

Publication Date: 2015-07-15

Citations: 7

Locations

arXiv (Cornell University) - View

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Action	Title	Year	Authors
+ PDF Chat	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
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+	Rectifiability and elliptic measures on 1-sided NTA domains with Ahlfors-David regular boundaries	2016	Murat Akman Matthew Badger Steve Hofmann José María Martell
+ 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
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+	On a two-phase problem for harmonic measure in general domains	2016	Jonas Azzam Mihalis Mourgoglou Xavier Tolsa Alexander Volberg
+	On Tsirelson's theorem about triple points for harmonic measure	2016	Xavier Tolsa Alexander Volberg

Works Cited by This (11)

Action	Title	Year	Authors
+	Harmonic Analysis Techniques for Second Order Elliptic Boundary Value Problems	1994	Carlos E. Kenig
+ PDF Chat	Elliptic Partial Differential Equations of Second Order	2001	David Gilbarg Neil S. Trudinger
+	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	Some remarks on harmonic measure in space	1974	William P. Ziemer
+ PDF Chat	Removable sets for Lipschitz harmonic functions in the plane	2000	Guy C. David Pertti Mattila
+ PDF Chat	On singularity of harmonic measure in space	1986	Jang-Mei Wu
+ 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
+	Rectifiability of harmonic measure in domains with porous boundaries	2015	Jonas Azzam Mihalis Mourgoglou Xavier Tolsa
+	On the Absolute Continuity of Elliptic Measures	1986	Björn E. J. Dahlberg