On Embeddings for Classes of Functions with Generalized Smoothness on Metric Spaces

被引：0

作者：

A. S. Romanov

机构：

[1] Sobolev Institute of Mathematics,

来源：

Siberian Mathematical Journal | 2004年 / 45卷

关键词：

metric space; measure; Sobolev class; embedding theorem;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

Given a metric space with a Borel measure, we consider the classes of functions whose increment is controlled by the measure of a ball containing the corresponding points and a nonnegative function summable with some power. We prove embedding theorems for these spaces defined by two different measures satisfying the doubling condition.

引用

页码：722 / 729

页数：7

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