Compactness of embeddings of sobolev type on metric measure spaces

被引：0

作者：

I. A. Ivanishko

V. G. Krotov

机构：

[1] Belorussian State University,

来源：

Mathematical Notes | 2009年 / 86卷

关键词：

embedding of Sobolev type; metric measure space; Hardy-Littlewood maximal function; Hölder class; Sobolev space; Borel measure; Lebesgue measure;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

We establish conditions for the compactness of embeddings for some classes of functions on metric space with measure satisfying the duplication condition. These classes are defined in terms of the Lp-summability of maximal functions measuring local smoothness.

引用

页码：775 / 788

页数：13

共 14 条

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