LINEAR AND NONLINEAR EXTENSIONS OF LIPSCHITZ FUNCTIONS FROM SUBSETS OF METRIC SPACES

被引：2

作者：

Brudnyi, A. ^{[1
]}

Brudnyi, Y. ^{[2
]}

机构：

[1] Univ Calgary, Dept Math & Stat, Calgary, AB T2N 1N4, Canada

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

来源：

ST PETERSBURG MATHEMATICAL JOURNAL | 2008年 / 19卷 / 03期

基金：

加拿大自然科学与工程研究理事会;

关键词：

Lipschitz function; linear extension operator; Banach space;

D O I：

10.1090/S1061-0022-08-01003-0

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

A relationship is established between the linear and nonlinear extension constants for Lipschitz functions defined on subsets of metric spaces. Proofs of several results announced in our earlier paper are presented.

引用

页码：397 / 406

页数：10

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