New characterizations of Hajlasz-Sobolev spaces on metric spaces

被引：0
|
作者：
杨大春
机构：
[1] Beijing 100875
[2] China
[3] Department of Mathematics. Beijing Normal University
来源：
Science China Mathematics | 2003年 / 05期
关键词：
Sobolev space; Lipschitz-type space; embedding theorem; maximal function; space of homogeneous type;
D O I：
暂无
中图分类号：
O177.1 [希尔伯特空间及其线性算子理论];
学科分类号：
070104 ;
摘要：
This paper introduces the fractional Sobolev spaces on spaces of homogeneous type,includingmetric spaces and fractals. These Sobolev spaces include the well-known Hajfasz-Sobolev spaces as specialmodels.The author establishes varions chaaracterizations of(sharp)maximal functions for these spaces.Asapplications,the author identifies the fractional Sobolev spaces with some Lipscitz-type spaces.Moreover;some embedding theorems are also given.
引用
收藏
页码：675 / 689
页数：15
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