Besov-Morrey spaces and Triebel-Lizorkin-Morrey spaces for non-doubling measures

被引：37

作者：

Sawano, Yoshihiro ^{[2
]}

Tanaka, Hitoshi ^{[1
]}

机构：

[1] Univ Tokyo, Grad Sch Math Sci, Tokyo, Japan

[2] Tokyo Metropolitan Univ, Dept Math & Informat Sci, Tokyo 158, Japan

来源：

MATHEMATISCHE NACHRICHTEN | 2009年 / 282卷 / 12期

关键词：

Morrey space; Besov-space; Triebel-Lizorkin space; non-doubling; CALDERON-ZYGMUND OPERATORS; INEQUALITIES; H-1;

D O I：

10.1002/mana.200610818

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We define Morrey type Besov-Triebel spaces with the underlying measure non-doubling. After defining the function spaces, we investigate boundedness property of some class of the singular integral operators. (C) 2009 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim

引用

页码：1788 / 1810

页数：23

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