Rough singular integrals associated to surfaces of revolution

被引：24

作者：

Lu, SZ ^{[1
]}

Pan, YB

Yang, DC

机构：

[1] Beijing Normal Univ, Dept Math, Beijing 100875, Peoples R China

[2] City Univ Hong Kong, Dept Math, Kowloon, Hong Kong, Peoples R China

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2001年 / 129卷 / 10期

关键词：

curve; surface of revolution; singular integral; maximal operator; rough kernel; Hardy space; sphere;

D O I：

10.1090/S0002-9939-01-05893-2

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Let 1 < p < infinity and n greater than or equal to 2. The authors establish the L-p (Rn+1)-boundedness for a class of singular integral operators associated to surfaces of revolution, {(t, phi(\t\)) : t is an element of R-n}, with rough kernels, provided that the corresponding maximal function along the plane curve {(t, phi(\t\)) : t is an element of R} is bounded on L-p (R-2).

引用

页码：2931 / 2940

页数：10

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