Besov and Holder spaces on spaces of homogeneous type

被引：0

作者：

Han, Yongshen ^{[1
]}

Lee, Ming-Yi ^{[2
]}

Lin, Chin-Cheng ^{[2
]}

机构：

[1] Auburn Univ, Dept Math, Auburn, AL 36849 USA

[2] Natl Cent Univ, Dept Math, Chungli 320, Taiwan

来源：

STUDIA MATHEMATICA | 2020年 / 255卷 / 03期

关键词：

Besov spaces; Holder spaces; Monge-Ampere singular integral operators; HARDY-SPACES; INEQUALITY; REGULARITY; INTEGRALS;

D O I：

10.4064/sm180925-17-9

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We establish a theory of Besov spaces associated with a family of quasimetric balls under only the doubling condition on the measure. We introduce the corresponding Holder spaces as well, and show that the duals of some Besov spaces defined here are equivalent to the corresponding Holder spaces. As an application, we show that Monge-Ampere singular integral operators are bounded on these spaces.

引用

页码：219 / 263

页数：45

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