Extending Lipschitz and Hölder maps between metric spaces

被引：0
|
作者：
Shin-ichi Ohta
机构：
[1] Kyoto University,Department of Mathematics, Faculty of Science
来源：
Positivity | 2009年 / 13卷
关键词：
54C20; 26A16; 53C21; Lipschitz retract; Lipschitz map; Hölder map; large-scale Lipschitz map; barycenter;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We introduce a stochastic generalization of Lipschitz retracts, and apply it to the extension problems of Lipschitz, Hölder, large-scale Lipschitz and large-scale Hölder maps into barycentric metric spaces. Our discussion gives an appropriate interpretation of a work of Lee and Naor.
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页码：407 / 425
页数：18
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