Quantitative Absolute Continuity of Harmonic Measure and the Dirichlet Problem: A Survey of Recent Progress

Steve Hofmann

Type: Article

Publication Date: 2019-05-20

Citations: 11

DOI: https://doi.org/10.1007/s10114-019-8444-z

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Acta Mathematica Sinica English Series - View

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+ PDF Chat	Uniform Rectifiability and Elliptic Operators Satisfying a Carleson Measure Condition	2021	Steve Hofmann José María Martell Svitlana Mayboroda Tatiana Toro Zihui Zhao
+ PDF Chat	The regularity problem for the Laplace equation in rough domains	2024	Mihalis Mourgoglou Xavier Tolsa
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+	Harmonic Measure and the Analyst's Traveling Salesman Theorem	2019	Jonas Azzam
+	Carleson measure estimates and $\epsilon$-approximation of bounded harmonic functions, without Ahlfors regularity assumptions	2020	John B. Garnett
+	Uniform rectifiability implies Varopoulos extensions	2020	Steve Hofmann Olli Tapiola
+ PDF Chat	Harmonic measure and quantitative connectivity: geometric characterization of the $$L^p$$-solvability of the Dirichlet problem	2020	Jonas Azzam Steve Hofmann José María Martell Mihalis Mourgoglou Xavier Tolsa
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Works Cited by This (36)

Action	Title	Year	Authors
+	Existence and regularity for a minimum problem with free boundary.	1981	Hans Wilhelm Alt Luis Caffarelli
+	Harmonic Analysis Techniques for Second Order Elliptic Boundary Value Problems	1994	Carlos E. Kenig
+ PDF Chat	Weighted norm inequalities for maximal functions and singular integrals	1974	Ronald R. Coifman Charles Fefferman
+	Nonlinear Potential Theory of Degenerate Elliptic Equations	2018	Juha Heinonen Tero Kilpeläinen Олли Мартио
+ PDF Chat	A T(b) theorem with remarks on analytic capacity and the Cauchy integral	1990	Michael Christ
+ PDF Chat	Weighted norm inequalities for the Hardy maximal function	1972	Benjamin Muckenhoupt
+ PDF Chat	Morceaux de Graphes Lipschitziens et Intégrales Singulières sur une Surface	1988	Guy David
+	On the Hausdorff dimension of harmonic measure in higher dimension	1987	Jean Bourgain
+	Estimates of harmonic measure	1977	Björn E. J. Dahlberg
+ PDF Chat	Boundary Harnack principle and Martin boundary for a uniform domain	2001	Hiroaki Aikawa