Triebel-Lizorkin space boundedness of rough singular integrals associated to surfaces of revolution

被引：6
|
作者：
Ding Yong [1 ]
Yabuta, Kozo [2 ]
机构：
[1] Beijing Normal Univ, Lab Math & Complex Syst, Minist Educ, Sch Math Sci, Beijing 100875, Peoples R China
[2] Kwansei Gakuin Univ, Res Ctr Math Sci, Gakuen 2-1, Sanda 6691337, Japan
来源：
SCIENCE CHINA-MATHEMATICS | 2016年 / 59卷 / 09期
基金：
中国国家自然科学基金; 日本学术振兴会;
关键词：
singular integrals; Triebel-Lizorkin spaces; rough kernel; surface of revolution; OPERATORS; SUBMANIFOLDS; KERNELS;
D O I：
10.1007/s11425-016-5154-1
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We consider the boundedness of the rough singular integral operator T-Omega,T-psi,T-h along a surface of revolution on the Triebel-Lizorkin space (F) over dot(p,q)(alpha) (R-n) for Omega is an element of H-1(Sn-1) and Omega is an element of L log(+)L(Sn-1) boolean OR (boolean OR(1<q<infinity) B-q((0,0)) (Sn-1)), respectively.
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页码：1721 / 1736
页数：16
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