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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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