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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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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Ding, Yong
Wang, Xin Xia
description 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
doi_str_mv 10.1007/s10114-013-2127-y
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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
title Commutator of Hypersingular Integral with Rough Kernels on Sobolev Spaces
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