Generalized Hausdorff dimension distortion in Euclidean spaces under Sobolev mappings

被引：5

作者：

Rajala, T. ^{[1
]}

Zapadinskaya, A. ^{[1
]}

Zurcher, T. ^{[1
]}

机构：

[1] Univ Jyvaskyla, Dept Math & Stat, FIN-40014 Jyvaskyla, Finland

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2011年 / 384卷 / 02期

基金：

瑞士国家科学基金会; 芬兰科学院;

关键词：

Dimension distortion; Sobolev mappings; Mappings of finite distortion; FINITE DISTORTION; CONDITION-N; INTEGRABILITY; DERIVATIVES; REGULARITY;

D O I：

10.1016/j.jmaa.2011.05.073

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We investigate how the integrability of the derivatives of Orlicz-Sobolev mappings defined on open subsets of R(n) affect the sizes of the images of sets of Hausdorff dimension less than n. We measure the sizes of the image sets in terms of generalized Hausdorff measures. (C) 2011 Elsevier Inc. All rights reserved.

引用

页码：468 / 477

页数：10

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