Characterizations of Besov and Triebel-Lizorkin spaces on metric measure spaces

被引：62

作者：

Gogatishvili, Amiran ^{[1
]}

Koskela, Pekka ^{[2
]}

Zhou, Yuan ^{[2
,3
]}

机构：

[1] Acad Sci Czech Republ, Inst Math, CR-11567 Prague 1, Czech Republic

[2] Univ Jyvaskyla, Dept Math & Stat, FI-40014 Jyvaskyla, Finland

[3] Beijing Univ Aeronaut & Astronaut, Dept Math, Beijing 100083, Peoples R China

来源：

FORUM MATHEMATICUM | 2013年 / 25卷 / 04期

基金：

芬兰科学院;

关键词：

Besov space; Triebel-Lizorkin space; Hajlasz-Besov space; Hajlasz-Triebel-Lizorkin space; metric measure space; sharp maximal function; SOBOLEV SPACES; MAXIMAL FUNCTIONS; INEQUALITY; EXTENSION;

D O I：

10.1515/FORM.2011.135

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

On a metric measure space satisfying the doubling property, we establish several optimal characterizations of Besov and Triebel-Lizorkin spaces, including a pointwise characterization. Moreover, we discuss their (non) triviality under a Poincare inequality.

引用

页码：787 / 819

页数：33

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