Sobolev Mappings: Lipschitz Density is not a Bi-Lipschitz Invariant of the Target

被引：0

作者：

Piotr Hajłasz

机构：

[1] University of Pittsburgh,Department of Mathematics

来源：

GAFA Geometric And Functional Analysis | 2007年 / 17卷

关键词：

Sobolev mappings; Lipschitz mappings; metric spaces; approximation; Primary: 46E35;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

We study a question of density of Lipschitz mappings in the Sobolev class of mappings from a closed manifold into a singular space. The main result of the paper, Theorem 1.7, shows that if we change the metric in the target space to a bi-Lipschitz equivalent one, then the property of the density of Lipschitz mappings may be lost. Other main results in the paper are Theorems 1.2, 1.3, 1.6, 1.8.

引用

页码：435 / 467

页数：32

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