Weighted norm inequalities for fractional integral operators with rough kernel

被引：80

作者：

Ding, Y ^{[1
]}

Lu, SZ ^{[1
]}

机构：

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

来源：

CANADIAN JOURNAL OF MATHEMATICS-JOURNAL CANADIEN DE MATHEMATIQUES | 1998年 / 50卷 / 01期

关键词：

D O I：

10.4153/CJM-1998-003-1

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Given function Omega on R-n, we define the fractional maximal operator and fractional integral operator by M(Omega.alpha)f(x) = sup 1/r>0(rn-alpha)integral(\y\<r)\Omega(y)parallel to f(x-y)\dy and T(Omega.alpha)f(x) = integral R-n Omega(y)/\y\(n-alpha)f(x-y) dy respectively, where 0 < alpha < n. In this paper we study the weighted norm inequalities of M-Omega.alpha and T-Omega.alpha for appropriate alpha, s and A(p,q) weights in the case that Omega epsilon L-s (Sn-1) (s > 1), homogeneous of degree zero.

引用

页码：29 / 39

页数：11

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