Boundary limits of polyharmonic functions in sobolev-orlicz spaces
作者:
Yoshihiro Mizuta,
期刊:
Complex Variables, Theory and Application: An International Journal
(Taylor Available online 1995)
卷期:
Volume 27,
issue 2
页码: 117-131
ISSN:0278-1077
年代: 1995
DOI:10.1080/17476939508814810
出版商: Gordon and Breach Science Publishers
关键词: 3IB25;3IB30
数据来源: Taylor
摘要:
This paper deals with weighted boundary limits of polyharmonic functions on a bounded Lipschitz domainGwith finite Dirichlet-type integral. There are many known results about the existence of angular limits for harmonic functions. Recently, tangential behaviours are studied mainly for harmonic functions. Our aim in this paper is to study the existence os weighted limit: limk(x)u(x)asxtends to the bounded, the limit is replaced by the usual tangential limit.
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