Densities with the mean value property for harmonic functions in a Lipschitz domain期刊界 All Journals 搜尽天下杂志传播学术成果专业期刊搜索期刊信息化学术搜索

Densities with the mean value property for harmonic functions in a Lipschitz domain

Authors:	Hiroaki Aikawa

Affiliation:	Department of Mathematics, Shimane University, Matsue 690, Japan

Abstract:	Let be a bounded domain in $mathbb {R}^{n}$ , , and let $x_{0}in D$ . We consider positive functions on such that $h( x_{0}) = (int _{D}w dx)^{-1} int _{D} h w dx$ for all bounded harmonic functions on . We determine Lipschitz domains having such with $inf _{D} w>0$ .

Keywords:	Harmonic functions mean value property gradient of harmonic function

	点击此处可从《Proceedings of the American Mathematical Society》浏览原始摘要信息
	点击此处可从《Proceedings of the American Mathematical Society》下载全文