Some function spaces on spaces of homogeneous type

被引：28

作者：

Kronz, M ^{[1
]}

机构：

[1] Univ Erlangen Nurnberg, Inst Math, D-91054 Erlangen, Germany

来源：

MANUSCRIPTA MATHEMATICA | 2001年 / 106卷 / 02期

关键词：

D O I：

10.1007/s002290100205

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

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 proper-ties comparable to their classical analogues. In particular we show integral characterizations, the validity of the John-Nirenberg theorem, Poincare 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：30

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