Edinburgh Research Explorer

BMO Solvability and the A  Condition for Elliptic Operators

Research output: Contribution to journalArticle

Related Edinburgh Organisations

Open Access permissions

Open

Documents

http://link.springer.com/article/10.1007%2Fs12220-010-9142-3
Original languageEnglish
Pages (from-to)78-95
Number of pages18
JournalJournal of Geometric Analysis
Volume21
Issue number1
DOIs
Publication statusPublished - Jan 2011

Abstract

We establish a connection between the absolute continuity of elliptic measure associated with a second order divergence form operator with bounded measurable coefficients with the solvability of an end-point BMO Dirichlet problem. We show that these two notions are equivalent. As a consequence we obtain an end-point perturbation result, i.e., the solvability of the BMO Dirichlet problem implies L-p solvability for all p > p(0).

    Research areas

  • Dirichlet problem, Elliptic measure, Bounded mean oscillation, WEIGHTED NORM INEQUALITIES, DIRICHLET PROBLEM, MAXIMAL FUNCTIONS, HARDY-SPACES, EQUATIONS, DOMAINS, COEFFICIENTS, CONTINUITY, VARIABLES

Download statistics

No data available

ID: 508928