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.

引用

页码：1721 / 1736

页数：16

共 28 条

[21] SOME REMARKS ON MARCINKIEWICZ INTEGRALS ALONG SUBMANIFOLDS [J].