Divergence-free Hardy space on R+R

Zengjian Lou; Alan Mclntosh

doi:10.1360/02ys0363

Divergence-free Hardy space on R₊^R

Zengjian Lou^*, Alan Mclntosh

^*Corresponding author for this work

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

3 Citations (Scopus)

Abstract

We introduce a divergence-free Hardy space H_z,div¹ (R₊^R, R^R) and prove its divergence-free atomic decomposition. We also characterize its dual space and establish a div-curl type theorem on R₊³ with an application to coercivity properties of some polyconvex quadratic forms.

Original language	English
Pages (from-to)	198-208
Number of pages	11
Journal	Science in China, Series A: Mathematics
Volume	47
Issue number	2
DOIs	https://doi.org/10.1360/02ys0363
Publication status	Published - Apr 2004

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title = "Divergence-free Hardy space on R+R",

abstract = "We introduce a divergence-free Hardy space Hz,div1 (R+R, RR) and prove its divergence-free atomic decomposition. We also characterize its dual space and establish a div-curl type theorem on R+3 with an application to coercivity properties of some polyconvex quadratic forms.",

keywords = "Atomic decomposition, BMO, Divergence-free Hardy space",

author = "Zengjian Lou and Alan Mclntosh",

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AB - We introduce a divergence-free Hardy space Hz,div1 (R+R, RR) and prove its divergence-free atomic decomposition. We also characterize its dual space and establish a div-curl type theorem on R+3 with an application to coercivity properties of some polyconvex quadratic forms.

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KW - Divergence-free Hardy space

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JO - Science in China, Series A: Mathematics

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Divergence-free Hardy space on R₊^R

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