Integrability of superharmonic functions, uniform domains, and Holder domains

被引：3

作者：

Gotoh, Y ^{[1
]}

机构：

[1] Natl Def Acad, Dept Math, Yokosuka, Kanagawa 239, Japan

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 1999年 / 127卷 / 05期

关键词：

BMO; quasihyperbolic metric; uniform domain; Holder domain; superharmonic function; harmonic function;

D O I：

10.1090/S0002-9939-99-04670-5

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Let S+(D) denote the space of all positive superharmonic functions on a domain D subset of R-n. Lindqvist showed that log S+(D) is a bounded subset of BMO(D). Using this, we give a characterization of finitely connected 2-dimensional uniform domains and remarks on Holder domains.

引用

页码：1443 / 1451

页数：9

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