On extensions of Sobolev functions defined on regular subsets of metric measure spaces

被引：30

作者：

Shvartsman, P. ^{[1
]}

机构：

[1] Technion Israel Inst Technol, Dept Math, IL-32000 Haifa, Israel

来源：

JOURNAL OF APPROXIMATION THEORY | 2007年 / 144卷 / 02期

关键词：

Sobolev space; metric space; regular set; linear extension operator; sharp maximal function;

D O I：

10.1016/j.jat.2006.05.005

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We characterize the restrictions of first-order Sobolev functions to regular subsets of a homogeneous metric space and prove the existence of the corresponding linear extension operator. (C) 2006 Elsevier Inc. All rights reserved.

引用

页码：139 / 161

页数：23

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