Mappings with finite distortion in Lloc p: modulus of continuity and compression of Hausdorff Measure

被引：4

作者：

Clop, Albert ^{[1
]}

Herron, David A. ^{[2
]}

机构：

[1] Univ Autonoma Barcelona, Dept Matemat, Fac Ciencies, Bellaterra 08193, Barcelona, Spain

[2] Univ Cincinnati, Dept Math, Cincinnati, OH 45221 USA

来源：

ISRAEL JOURNAL OF MATHEMATICS | 2014年 / 200卷 / 01期

关键词：

Lebesgue Space; Hausdorff Measure; Distortion Function; Gauge Function; Local Modulus;

D O I：

10.1007/s11856-014-0015-5

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study mappings of finite distortion whose distortion functions belong to the Lebesgue space L (loc) (p) . We establish a local modulus of continuity estimate for the inverse of such a mapping. As an application, we describe the possible compression of Hausdorff measure under such mappings. We also exhibit examples that describe the extent to which our results are sharp.

引用

页码：225 / 250

页数：26

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