Triebel-Lizorkin space boundedness of Marcinkiewicz integrals associated to surfaces

被引：0
|
作者：
Kôzô Yabuta
机构：
[1] Kwansei Gakuin University,Research Center for Mathematical Sciences
来源：
Applied Mathematics-A Journal of Chinese Universities | 2015年 / 30卷
关键词：
Marcinkiewicz integral; Littlewood-Paley operator; Triebel-Lizorkin space; rough kernel; 42B20; 42B25; 47G10;
D O I：
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学科分类号：
摘要：
In the present paper, we consider the boundedness of Marcinkiewicz integral operator µO,h,f along a surface Γ = {x = φ(|y|)y/|y|)} on the Triebel-Lizorkin space Fp,qα (ℝn) for Ω belonging to H1(Sn-1) and some class WFα(Sn-1), which relates to Grafakos-Stefanov class. Some previous results are extended and improved.
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页码：418 / 446
页数：28
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