Commutator of Hypersingular Integral with Rough Kernels on Sobolev Spaces

In this paper, the authors give the boundedness of the commutator of hypersingular integral T γ from the homogeneous Sobolev space Lpγ （Rn） to the Lebesgue space Lp（Rn） for 1

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Bibliographic Details
Published in:Acta mathematica Sinica. English series 2013-06, Vol.29 (6), p.1043-1054
Main Authors: Chen, Yan Ping, Ding, Yong, Wang, Xin Xia
Format: Article
Language:English
Subjects:
Algebra
Applied mathematics
Commutators
Fourier transforms
Integrals
Kernels
Mathematics
Mathematics and Statistics
Sobolev space
Sobolev空间
Studies
勒贝格空间
换向器
有界性
粗糙核
超奇异积分
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Description
Summary:In this paper, the authors give the boundedness of the commutator of hypersingular integral T γ from the homogeneous Sobolev space Lpγ （Rn） to the Lebesgue space Lp（Rn） for 1
ISSN:1439-8516
1439-7617
DOI:10.1007/s10114-013-2127-y