Riesz potentials in Besov and Triebel-Lizorkin spaces over spaces of homogeneous type

被引：9

作者：

Yang, DC ^{[1
]}

机构：

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

来源：

POTENTIAL ANALYSIS | 2003年 / 19卷 / 02期

关键词：

space of homogeneous type; Riesz potential; Besov space; Triebel-Lizorkin space;

D O I：

10.1023/A:1023217617339

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

By using the discrete Calderon reproducing formulae, the author first establishes the boundedness of the Riesz-potential-type operator in homogeneous Besov and Triebel-Lizorkin spaces over spaces of homogeneous type. Then, by use of the T1 theorems for these spaces, the author proves that this operator of Riesz potential type can be used as the lifting operator of these spaces.

引用

页码：193 / 210

页数：18

共 20 条

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