Hardy-Sobolev spaces on product domains and application

Ruming Gong; Ji Li

doi:10.1016/j.jmaa.2010.10.057

Hardy-Sobolev spaces on product domains and application

Ruming Gong^*, Ji Li

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

1 Citation (Scopus)

Abstract

We introduce the product Hardy-Sobolev space H^1,p(Rⁿ×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.

Original language	English
Pages (from-to)	296-302
Number of pages	7
Journal	Journal of Mathematical Analysis and Applications
Volume	377
Issue number	1
DOIs	https://doi.org/10.1016/j.jmaa.2010.10.057
Publication status	Published - 1 May 2011
Externally published	Yes

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title = "Hardy-Sobolev spaces on product domains and application",

abstract = "We introduce the product Hardy-Sobolev space H1,p(Rn×Rm) and obtain its characterization in terms of atomic decomposition. As an application, we give an endpoint version of multi-parameter div-curl lemma.",

author = "Ruming Gong and Ji Li",

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AB - We introduce the product Hardy-Sobolev space H1,p(Rn×Rm) and obtain its characterization in terms of atomic decomposition. As an application, we give an endpoint version of multi-parameter div-curl lemma.

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VL - 377

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JF - Journal of Mathematical Analysis and Applications

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Hardy-Sobolev spaces on product domains and application

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