Commutator of Hypersingular Integral with Rough Kernels on Sobolev Spaces

被引：0

作者：

Yan Ping CHEN ^{[1
]}

Yong DING ^{[2
]}

Xin Xia WANG ^{[3
]}

机构：

[1] Department of Applied Mathematics, Mathematical and Physical School, University of Science and Technology Beijing

[2] School of Mathematical Sciences, Beijing Normal University, Laboratory of Mathematics and Complex Systems (BNU),Ministry of Education

[3] The College of Mathematics and System Science, Xinjiang

来源：

Acta Mathematica Sinica. | 2013年 / 29卷 / 06期

关键词：

D O I：

暂无

中图分类号：

学科分类号：

摘要：

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<p<∞ and 0 < γ < min{ n/2 , n/p }.

引用

页数：12

共 50 条

[1] Commutator of hypersingular integral with rough kernels on Sobolev spaces
Chen, Yan Ping
Ding, Yong
Wang, Xin Xia
[J]. ACTA MATHEMATICA SINICA-ENGLISH SERIES, 2013, 29 (06) : 1043 - 1054
[2] Commutator of hypersingular integral with rough kernels on Sobolev spaces
Yan Ping Chen
Yong Ding
Xin Xia Wang
[J]. Acta Mathematica Sinica, English Series, 2013, 29 : 1043 - 1054
[3] Commutator of Hypersingular Integral with Rough Kernels on Sobolev Spaces
Yan Ping CHEN
Yong DING
Xin Xia WANG
[J]. Acta Mathematica Sinica,English Series, 2013, (06) : 1043 - 1054
[4] Commutators of Marcinkiewicz integral with rough kernels on Sobolev spaces
Chen, Yan Ping
Ding, Yong
Wang, Xin Xia
[J]. ACTA MATHEMATICA SINICA-ENGLISH SERIES, 2011, 27 (07) : 1345 - 1366
[5] Commutators of Marcinkiewicz integral with rough kernels on Sobolev spaces
Yan Ping Chen
Yong Ding
Xin Xia Wang
[J]. Acta Mathematica Sinica, English Series, 2011, 27 : 1345 - 1366
[6] Hypersingular parameterized Marcinkiewicz integrals with variable kernels on Sobolev and Hardy-Sobolev spaces
CHEN Jie-cheng YU Xiao ZHANG Yan-dan WANG Hui Department of Mathematics
[J]. Applied Mathematics:A Journal of Chinese Universities, 2008, (04) : 420 - 430
[7] Hypersingular parameterized Marcinkiewicz integrals with variable kernels on Sobolev and Hardy-Sobolev spaces
Chen Jie-cheng
Yu Xiao
Zhang Yan-dan
Wang Hui
[J]. APPLIED MATHEMATICS-A JOURNAL OF CHINESE UNIVERSITIES SERIES B, 2008, 23 (04) : 420 - 430
[8] Hypersingular parameterized Marcinkiewicz integrals with variable kernels on Sobolev and Hardy-Sobolev spaces
Jie-cheng Chen
Xiao Yu
Yan-dan Zhang
Hui Wang
[J]. Applied Mathematics-A Journal of Chinese Universities, 2008, 23 : 420 - 430
[9] Lp Bounds for the Commutator of Parabolic Singular Integral with Rough Kernels
Yanping Chen
Yong Ding
[J]. Potential Analysis, 2007, 27 : 313 - 334
[10] Lp bounds for the commutator of parabolic singular integral with rough kernels
Chen, Yanping
Ding, Yong
[J]. POTENTIAL ANALYSIS, 2007, 27 (04) : 313 - 334

← 1 2 3 4 5 →