Decompositions of the Hardy space 1z([Omega])

We give a decomposition of the Hardy space ^sup 1^^sub ^sub z^^(Ω) into "div-curl" quantities for Lipschitz domains in ^sup ^sup n^^. We also prove a decomposition of ^sup 1^^sub ^sub z^^(Ω) into Jacobians det Du, u W^sup 1,2^^sub 0^ (Ω,^sup 2^) for Ω in ^sup 2^. This partially answers a w...

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Bibliographic Details
Published in:Acta mathematica Sinica. English series 2005-08, Vol.21 (4), p.949
Main Authors: Lou, Zeng Jian, Yang, Shou Zhi, Song, Dao Jin
Format: Article
Language:English
Subjects:
Decomposition
Mathematical analysis
Studies
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Summary:We give a decomposition of the Hardy space ^sup 1^^sub ^sub z^^(Ω) into "div-curl" quantities for Lipschitz domains in ^sup ^sup n^^. We also prove a decomposition of ^sup 1^^sub ^sub z^^(Ω) into Jacobians det Du, u W^sup 1,2^^sub 0^ (Ω,^sup 2^) for Ω in ^sup 2^. This partially answers a well-known open problem.[PUBLICATION ABSTRACT]
ISSN:1439-8516
1439-7617
DOI:10.1007/s10114-004-0499-8