Lp Bounds for the Commutator of Parabolic Singular Integral with Rough Kernels

Lp Bounds for the Commutator of Parabolic Singular Integral with Rough Kernels
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DOI:
10.1007/s11118-007-9062-4
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发表时间:
2007-09
期刊:
影响因子:
1.1
通讯作者:
Yanping Chen;Yong Ding
Yanping Chen;Yong Ding
中科院分区:
数学3区
文献类型:
--
作者:
Yanping Chen;Yong Ding

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本文给出了抛物型奇异积分的k阶交换子以核函数Ω∈L(log+L)k+ 1(Sn− 1)为中心的Lp(1 <p< ∞)有界性.本文的结果是某些已知结果的推广。
In this paper, the authors give theLp(1 <p< ∞ ) boundedness of thek-th order commutator of parabolic singular integral with the kernel functionΩ∈L(log+L)k+ 1(Sn− 1). The result in this paper is an extension of some known results.