AN ATOMIC DECOMPOSITION FOR THE HARDY-SOBOLEV SPACE

Zengjian Lou; Shouzhi Yang

doi:10.11650/twjm/1500404810

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Home > Journals > Taiwanese J. Math. > Volume 11 > Issue 4 > Article

2007 AN ATOMIC DECOMPOSITION FOR THE HARDY-SOBOLEV SPACE

Zengjian Lou, Shouzhi Yang

Taiwanese J. Math. 11(4): 1167-1176 (2007). DOI: 10.11650/twjm/1500404810

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Abstract

We define a Hardy-Sobolev space and give its atomic decomposition. As an application of the decomposition we prove a div-curl lemma.

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Zengjian Lou. Shouzhi Yang. "AN ATOMIC DECOMPOSITION FOR THE HARDY-SOBOLEV SPACE." Taiwanese J. Math. 11 (4) 1167 - 1176, 2007. https://doi.org/10.11650/twjm/1500404810

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Published: 2007

First available in Project Euclid: 18 July 2017

zbMATH: 1221.42038

MathSciNet: MR2348559

Digital Object Identifier: 10.11650/twjm/1500404810

Subjects:

Primary: 42B30 , 46E35

Keywords: atomic decomposition , div-curl , Hardy space , Hardy-Sobolev space

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Taiwanese J. Math.

Vol.11 • No. 4 • 2007

Mathematical Society of the Republic of China

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Zengjian Lou, Shouzhi Yang "AN ATOMIC DECOMPOSITION FOR THE HARDY-SOBOLEV SPACE," Taiwanese Journal of Mathematics, Taiwanese J. Math. 11(4), 1167-1176, (2007)

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