Boundedness of an oscillating multiplier on Triebel-Lizorkin spaces

被引：0
作者：
Wei Cao
Jie Cheng Chen
Da Shan Fan
机构：
[1] Zhejiang University,Department of Mathematics
[2] University of Wisconsin-Milwaukee,Department of Mathematics
来源：
Acta Mathematica Sinica, English Series | 2010年 / 26卷
关键词：
Oscillating multiplier; Triebel-Lizorkin spaces; atomic decomposition; 42B25; 42B15; 42B99;
D O I：
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中图分类号：
学科分类号：
摘要：
In this paper, we study Triebel-Lizorkin space estimates for an oscillating multiplier mΩ,α,β. This operator was initially studied by Wainger and by Fefferman-Stein in the Lebesgue spaces. We obtain the boundedness results on the Triebel-Lizorkin space Ḟpα,q (ℝn) for different p, q.
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页码：2071 / 2084
页数：13
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