Some function spaces on spaces of homogeneous type

被引：0

作者：

Manfred Kronz

机构：

[1] Mathematisches Institut der Friedrich-Alexander-Universität Erlangen–Nürnberg,

[2] Bismarckstr. 1 1/2,undefined

[3] 91054 Erlangen,undefined

[4] Germany. e-mail: kronz@mi.uni-erlangen.de,undefined

来源：

manuscripta mathematica | 2001年 / 106卷

关键词：

Mathematics Subject Classification (2000): 43A85, 46E35;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

We introduce Campanato, Morrey, BMO and Sobolev-type spaces for mappings from a space of homogeneous type into a complete metric space which possess properties comparable to their classical analogues. In particular we show integral characterizations, the validity of the John–Nirenberg theorem, Poincarè and Sobolev inequalities, Sobolev's embedding theorem and estimates on the pointwise behavior of Sobolev-type mappings.

引用

页码：219 / 248

页数：29

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