BMO Solvability and $$A_{\infty }$$ Condition of the Elliptic Measures in Uniform Domains

Zihui Zhao

Type: Article

Publication Date: 2017-04-26

Citations: 22

DOI: https://doi.org/10.1007/s12220-017-9845-9

View Publication

Download PDF

Locations

arXiv (Cornell University) - View - PDF
DataCite API - View
Journal of Geometric Analysis - View

Similar Works

Action	Title	Year	Authors
+ PDF Chat	BMO Solvability and Absolute Continuity of Caloric Measure	2020	Alyssa Genschaw Steve Hofmann
+	Boundedness of solutions of elliptic equations involving measures	1997	Liang Xiting Yu Mingqi
+	Boundedness of solutions of elliptic equations involving measures	1997	Liang Xiting Wu Zaide
+	BMO-boundedness of the maximal operator for arbitrary measures	2007	Andrei K. Lerner
+	BMO-regularity for a degenerate transmission problem	2024	Vincenzo Bianca Edgard A. Pimentel José Miguel Urbano
+	Hardy spaces and BMO	2007	Kehe Zhu
+	A Phragmén-Lindelöf Theorem in Terms of Boundary Measure	1974	Göran Wanby
+	A theorem on degenerrate elliptic Beliman equation in bounded domains	1995	Н. В. Крылов Luis Caffarelli
+	$$L^{\infty }$$-BMO boundedness of some pseudo-differential operators	2023	Jianmiao Ruan Zhu Xiang-rong
+	BMO solvability and the $A_\infty$ condition for elliptic operators	2010	Martin Dindoš Carlos E. Kenig Jill Pipher
+	Elliptic equations and BMO-functions	1999	Carlo Sbordone
+	Description of Weak-Type BMO-Regularity	2024	Dmitry V. Rutsky
+	Existence in the Dirichlet Problems with $$ \dot {\Lambda }^{\alpha }$$-Data	2023	Pascal Auscher Moritz Egert
+	On global integrability of BMO functions on general domains	1998	Yasuhiro Gotoh
+	Existence and regularity results for elliptic equations with measure data	1996	Tamara Del Vecchio Maria Rosaria Posteraro
+	Minimal conditions for BMO	2020	Javier Canto Carlos Pérez Ezequiel Rela
+	BMO Solvability and Absolute Continuity of Caloric Measure	2019	Alyssa Genschaw Steve Hofmann
+	Carleson measures on bounded domains in $\mathbb{C}^n$	1988	和之鶴見
+	Characterizations of the Hardy space 𝐻¹(ℝ) and BMO(ℝ)	2017	Wael Abu-Shammala Ji‐Liang Shiu Alberto Torchinsky
+	Directional ellipticity on special domains: Weak Maximum and Phragmén–Lindelöf principles	2019	Italo Capuzzo Dolcetta Antonio Vitolo

Works That Cite This (22)

Action	Title	Year	Authors
+ PDF Chat	BMO Solvability and Absolute Continuity of Harmonic Measure	2017	Steve Hofmann Phi Long Le
+ PDF Chat	Boundary rectifiability and elliptic operators with <i>W</i> <sup>1,1</sup> coefficients	2017	Tatiana Toro Zihui Zhao
+ PDF Chat	Square function and non-tangential maximal function estimates for elliptic operators in 1-sided NTA domains satisfying the capacity density condition	2022	Murat Akman Steve Hofmann José María Martell Tatiana Toro
+	Perturbations of elliptic operators in 1-sided chord-arc domains. Part II: Non-symmetric operators and Carleson measure estimates	2020	Juan Cavero Steve Hofmann José María Martell Tatiana Toro
+	Perturbations of elliptic operators in 1-sided chord-arc domains. Part I: Small and large perturbation for symmetric operators	2018	Juan Cavero Steve Hofmann José María Martell
+ 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	Carleson measure estimates for caloric functions and parabolic uniformly rectifiable sets	2023	Simon Bortz John W. Hoffman Steve Hofmann José Luis Luna García Kaj Nyström
+	Uniform rectifiability implies Varopoulos extensions	2020	Steve Hofmann Olli Tapiola
+	Elliptic operators in rough sets and the Dirichlet problem with boundary data in Hölder spaces	2024	Mingming Cao Pablo Hidalgo-Palencia José María Martell Cruz Prisuelos-Arribas Zihui Zhao
+ PDF Chat	A∞ implies NTA for a class of variable coefficient elliptic operators	2017	Steve Hofmann José María Martell Tatiana Toro

Works Cited by This (40)

Action	Title	Year	Authors
+	Harmonic Analysis Techniques for Second Order Elliptic Boundary Value Problems	1994	Carlos E. Kenig
+	Nonlinear Potential Theory of Degenerate Elliptic Equations	2018	Juha Heinonen Tero Kilpeläinen Олли Мартио
+	BMO solvability and the $A_\infty$ condition for elliptic operators	2010	Martin Dindoš Carlos E. Kenig Jill Pipher
+	Harmonic Analysis: Real-variable Methods, Orthogonality, and Oscillatory Integrals	2002	Elias M. Stein Timothy S Murphy
+	Measure Theory and Fine Properties of Functions	2018	Lawrence C. Evans Ronald F. Garzepy
+ PDF Chat	Square Functions and the $$A_\infty $$ Property of Elliptic Measures	2015	Carlos E. Kenig Bernd Kirchheim Jill Pipher Tatiana Toro
+ PDF Chat	A new characterization of chord-arc domains	2017	Jonas Azzam Steve Hofmann José María Martell Kaj Nyström Tatiana Toro
+ PDF Chat	Elliptic Partial Differential Equations of Second Order	2001	David Gilbarg Neil S. Trudinger
+	Norm estimate of Green operator, perturbation of Green function and integrability of superharmonic functions	1998	Hiroaki Aikawa
+	Estimates of harmonic measure	1977	Björn E. J. Dahlberg