A∞ and the green function

Jang Mei Wu

doi:10.2140/pjm.1993.157.159

A∞ and the green function

Jang Mei Wu

Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

Let Gr(jc) be the Green function in a domain Ω R^m with a fixed pole, and Γ be an (m-1)-dimensional hyperplane. We give conditions on Ω and Ω∩Γ so that |∇G| is A∞ with respect to the (m-1)-dimensional measure on Ω ∩ Γ . Certain properties of the Riemann mapping of a simply-connected domain in R² are extended to the Green function of domains in R^m.

Original language	English (US)
Pages (from-to)	159-178
Number of pages	20
Journal	Pacific Journal of Mathematics
Volume	157
Issue number	1
DOIs	https://doi.org/10.2140/pjm.1993.157.159
State	Published - Jan 1993

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General Mathematics

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A∞ and the green function

Abstract

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