Hardy-Sobolev spaces on product domains and application

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:377

Article

Gong, Ruming¹  Li, Ji¹ 

[1] Sun Yat Sen Zhongshan Univ, Dept Math, Guangzhou 510275, Guangdong, Peoples R China

关键词: Product Hardy-Sobolev space;    Area integrals;    Atoms;    Div-curl lemma;   

DOI  :  10.1016/j.jmaa.2010.10.057

来源: Elsevier

【 摘 要 】

We introduce the product Hardy-Sobolev space H-1.p (R-n x R-m) and obtain its characterization in terms of atomic decomposition. As an application, we give an endpoint version of multi-parameter div-curl lemma. (C) 2010 Elsevier Inc. All rights reserved.

【 授权许可】

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