Lp boundedness for commutators of parabolic Littlewood-Paley operators with rough kernels

被引：4
|
作者：
Chen, Dongxiang [1 ,2 ]
Lu, Shanzhen [1 ]
机构：
[1] Beijing Normal Univ, Sch Math Sci, Beijing 100875, Peoples R China
[2] Jiangxi Normal Univ, Dept Math, Nanchang 330022, Peoples R China
来源：
MATHEMATISCHE NACHRICHTEN | 2011年 / 284卷 / 8-9期
关键词：
Parabolic Littlewood-Paley operator; commutator; block space; rough kernel; BLOCK SPACES; MARCINKIEWICZ INTEGRALS; UNIT-SPHERE; BOUNDS;
D O I：
10.1002/mana.200810139
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, L p bounds for the m-th order commutators of the parabolic Littlewood-Paley operator are obtained, provided that the kernel Omega belongs to L(log+L)(m+1/2)(Sn-1) or B-q(0,m-1/2)(Sn-1) (certain block spaces) for center q > 1, 1 < p < infinity, m is an element of N. (C) 2011 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim
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页码：973 / 986
页数：14
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