Embedding Theorems for a Certain Function Class of Sobolev Type on Metric Spaces

被引：0
|
作者：
A. S. Romanov
机构：
来源：
Siberian Mathematical Journal | 2004年 / 45卷
关键词：
metric space; measure; Sobolev class; embedding theorem;
D O I：
暂无
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学科分类号：
摘要：
Given a metric space with a Borel measure μ, we consider a class of functions whose increment is controlled by the measure of a ball containing the corresponding points and a nonnegative function p-summable with respect to μ. We prove some analogs of the classical theorems on embedding Sobolev function classes into Lebesgue spaces.
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页码：376 / 387
页数：11
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