Homogeneous fractional integrals on Hardy spaces

被引：70

作者：

Ding, Y ^{[1
]}

Lu, SZ ^{[1
]}

机构：

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

来源：

TOHOKU MATHEMATICAL JOURNAL | 2000年 / 52卷 / 01期

关键词：

fractional integral; homogeneous kernel; L-r-Dini condition; H-P space;

D O I：

10.2748/tmj/1178224663

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Mapping properties for the homogeneous fractional integral operator T-Omega,T-alpha on the Hardy spaces H-p(R-n) are studied. Our results give the extension of Stein-Weiss and Taibleson-Weiss's results for the boundedness of the Riesz potential operator I-alpha on the Hardy spaces H-p(R-n).

引用

页码：153 / 162

页数：10

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