Necessary and sufficient conditions for boundedness of commutators of strongly singular integral operators with weighted Lipschitz functions

被引：0
作者：
Xiaosha Zhou
Lanzhe Liu
机构：
[1] Changsha University of Science and Technology,College of Mathematics
来源：
Indian Journal of Pure and Applied Mathematics | 2011年 / 42卷
关键词：
Strongly singular integral operator; Commutator; Weighted Lipschitz space;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In this paper, we prove the commutator Tb generated by the strongly singular integral operator T and the function b is bounded from Lp(w) to Lq(w1−q) if and only if b ∈ Lipβ(w), where w ∈ A1, 0 < β < 1, 1 < p < n/β and 1/q = 1/p − β/n. To do this, we first show a maximal function estimate for the commutator.
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页码：405 / 416
页数：11
相关论文
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