The Stepanov differentiability theorem in metric measure spaces

被引：18

作者：

Balogh, ZM ^{[1
]}

Rogovin, K ^{[1
]}

Zürcher, T ^{[1
]}

机构：

[1] Univ Bern, Dept Math, CH-3012 Bern, Switzerland

来源：

JOURNAL OF GEOMETRIC ANALYSIS | 2004年 / 14卷 / 03期

关键词：

differentiability; Poincare inequality; Sobolev function; metric space;

D O I：

10.1007/BF02922098

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We extend Cheeger's theorem on differentiability of Lipschitz functions in metric measure spaces to the class of functions satisfying Stepanov's condition. As a consequence, we obtain the analogue of Calderon's differentiability theorem of Sobolev functions in metric measure spaces satisfying a Poincare inequality.

引用

页码：405 / 422

页数：18

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