BMO Solvability and the A∞ Condition for Elliptic Operators
BMO Solvability and the A∞ Condition for Elliptic Operators
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DOI：
10.1007/s12220-010-9142-3
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发表时间：
2010-07
影响因子：
1.1
通讯作者：
M. Dindoš;C. Kenig;J. Pipher
中科院分区：
文献类型：
--
作者：
M. Dindoš;C. Kenig;J. Pipher
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 impliesLpsolvability for allp>p0.
