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).
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页码：2931 / 2940
页数：10
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