LIPSCHITZ ESTIMATES FOR MULTILINEAR COMMUTATORS OF SINGULAR INTEGRAL OPERATORS ON SPACES OF HOMOGENEOUS TYPE

被引：0
|
作者：
Chen Yue [1 ]
Liu Lanzhe [1 ]
机构：
[1] Changsha Univ Sci & Technol, Dept Math, Changsha 410077, Hunan, Peoples R China
来源：
MISKOLC MATHEMATICAL NOTES | 2010年 / 11卷 / 02期
关键词：
singular integral operator; multilinear commutator; Lipschitz space; Hardy space; Herz-Hardy space; Triebel-Lizorkin space; space of homogeneous type;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper we discuss the multilinear commutators of singular integral operators on spaces of homogeneous type. By using Holder's inequalities and the (L-p, L-q) type boundedness of fractional integral operators on spaces of homogeneous type, we obtain that this kind of multilinear commutators is bounded from L-p to L-q, from L-p to Triebel-Lizorkin spaces and from H-b(p) to L-p. We also establish their (H K-q1,b(alpha,p), K-q2(alpha,p)) type boundedness on spaces of homogeneous type.
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页码：201 / 220
页数：20
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