Open Access
VOL. 44 | 2006 Martin kernels of general domains
Chapter Author(s) Kentaro Hirata
Editor(s) Hiroaki Aikawa, Takashi Kumagai, Yoshihiro Mizuta, Noriaki Suzuki
Adv. Stud. Pure Math., 2006: 145-154 (2006) DOI: 10.2969/aspm/04410145

Abstract

This note consists of our recent researches on Martin kernels of general domains. In particular, minimal Martin boundary points of a John domain, the boundary behavior of quotients of Martin kernels, and comparison estimates for the Green function and the Martin kernel are studied.

Information

Published: 1 January 2006
First available in Project Euclid: 16 December 2018

zbMATH: 1117.31005
MathSciNet: MR2277829

Digital Object Identifier: 10.2969/aspm/04410145

Subjects:
Primary: 31B05 , 31B25 , 31C35

Keywords: boundary behavior , comparison estimate , John domain , Martin kernel , Uniform domain

Rights: Copyright © 2006 Mathematical Society of Japan

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