Lipschitz estimates for generalized commutators of fractional integrals with rough kernel

被引：9
|
作者：
Lu, SZ [1 ]
Zhang, P
机构：
[1] Beijing Normal Univ, Dept Math, Beijing 100875, Peoples R China
[2] Zhejiang Univ, Dept Math, Hangzhou 310028, Peoples R China
来源：
MATHEMATISCHE NACHRICHTEN | 2003年 / 252卷
关键词：
fractional maximal operator; generalized commutator; Lipschitz space; Triebel-Lizorkin space;
D O I：
10.1002/mana.200310038
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Let T-Omega,alpha(A) (0 < alpha < n) be the generalized commutator generated by fractional integral with rough kernel and the m-th order remainder of the Taylor formula of a function A. In this paper, the (L-p, L-r) (r > 1) boundedness, the weak (L-1, Ln/(n-alpha-beta)) boundedness and the (L-p, F-p(beta,alpha)) boundedness of T-Omega,alpha(A) are discussed, when D(gamma)A belongs to the Lipschitz function spaces.
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页码：70 / 85
页数：16
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