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Journal of Zhejiang University SCIENCE A

ISSN 1673-565X(Print), 1862-1775(Online), Monthly

2004 Vol.5 No.9 P.1148-1154

The characterization of weighted local hardy spaces on domains and its application

WANG Heng-geng, YANG Xiao-ming

Department of Mathematics, South-China Normal University, Guangzhou 510631, China; Zhejiang University Press, Hangzhou 310028, China

yxm1208@163.net

Abstract: In this paper, we give the four equivalent characterizations for the weighted local hardy spaces on Lipschitz domains. Also, we give their application for the harmonic function defined in bounded Lipschitz domains.

Key words: Weighted local hardy space, Atomic characterization, Lipschitz domain


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DOI:

10.1631/jzus.2004.1148

CLC number:

O178

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Received:

2003-05-29

Revision Accepted:

2003-12-19

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