Scaled-oscillation and regularity

被引：19

作者：

Balogh, Zoltan M.

Csoernyei, Marianna

机构：

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

[2] UCL, Dept Math, London WC1E 6BT, England

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2006年 / 134卷 / 09期

关键词：

D O I：

10.1090/S0002-9939-06-08290-6

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We give suffcient conditions for Sobolev and Lipschitz functions in terms of their lower scaled-oscillation. The sharpness of these conditions is shown by examples. Our examples also show that a Stepanov-type differentiability theorem does not hold under the boundedness assumption of the lower scaled- oscillation.

引用

收藏

页码：2667 / 2675

页数：9

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