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

被引：0
|
作者：
Albert Clop
David A. Herron
机构：
[1] Universitat Autònoma de Barcelona Facultat de Ciències,Departament de Matemàtiques
[2] University of Cincinnati,Department of Mathematics
来源：
Israel Journal of Mathematics | 2014年 / 200卷
关键词：
Lebesgue Space; Hausdorff Measure; Distortion Function; Gauge Function; Local Modulus;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We study mappings of finite distortion whose distortion functions belong to the Lebesgue space Llocp. 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.
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页码：225 / 250
页数：25
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