A universal Lipschitz extension property of Gromov hyperbolic spaces

被引：0

作者：

Brudnyi, Alexander ^{[1
]}

Brudnyi, Yuri ^{[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：

REVISTA MATEMATICA IBEROAMERICANA | 2007年 / 23卷 / 03期

关键词：

metric space; Lipschitz function; linear extension;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

A metric space U has the universal Lipschitz extension property if for an arbitrary metric space M and every subspace S of M isometric to a subspace of U there exists a continuous linear extension of Banach-valued Lipschitz functions on S to those on all of M. We show that the finite direct sum of Gromov hyperbolic spaces of bounded geometry is universal in the sense of this definition.

引用

页码：861 / 896

页数：36

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