GENERALIZED DIMENSION DISTORTION UNDER MAPPINGS OF SUB-EXPONENTIALLY INTEGRABLE DISTORTION

被引：1

作者：

Rajala, Tapio ^{[1
]}

Zapadinskaya, Aleksandra ^{[1
]}

Zurcher, Thomas ^{[1
]}

机构：

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

来源：

ANNALES ACADEMIAE SCIENTIARUM FENNICAE-MATHEMATICA | 2011年 / 36卷 / 02期

基金：

芬兰科学院; 瑞士国家科学基金会;

关键词：

Mappings of finite distortion; sub-exponential distortion; generalized Hausdorff measure; Hausdorff dimension; FINITE DISTORTION; REGULARITY;

D O I：

10.5186/aasfm.2011.3631

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove a dimension distortion estimate for mappings of sub-exponentially integrable distortion in Euclidean spaces, which is sharp modulo a constant.

引用

页码：553 / 566

页数：14

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