An oscillating multiplier on Herz type spaces

被引：0
|
作者：
CAO Wei 1 SUN Li-jing 21 Department of Mathematics
机构：
来源：
Applied Mathematics:A Journal of Chinese Universities | 2011年 / 01期
基金：
中国国家自然科学基金;
关键词：
Oscillating multiplier; Herz space; atomic decomposition;
D O I：
暂无
中图分类号：
O177 [泛函分析];
学科分类号：
070104 ;
摘要：
In this paper, the boundedness of an oscillating multiplier m γ,β for different β on the Herz type spaces is obtained. This operator was initially studied by Wainger and Fefferman-Stein. Our results extend one of the main results in a paper by Xiaochun Li and Shanzhen Lu for the non-weighted case, if β is close to 1 or α is suitably large. For β≥ 1, the results with no weights on the Herz type spaces are also new.
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页码：93 / 103
页数：11
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