Heisenberg Hausdorff Dimension of Besicovitch Sets

被引：1

作者：

Venieri, Laura ^{[1
]}

机构：

[1] Univ Helsinki, Dept Math & Stat, POB 68,Gustaf Hallstromin Katu 2b, FI-00014 Helsinki, Finland

来源：

ANALYSIS AND GEOMETRY IN METRIC SPACES | 2014年 / 2卷 / 01期

基金：

芬兰科学院;

关键词：

Besicovitch set; Kakeya maximal function; Heisenberg group; Hausdorff dimension;

D O I：

10.2478/agms-2014-0013

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We consider (bounded) Besicovitch sets in the Heisenberg group and prove that L-p estimates for the Kakeya maximal function imply lower bounds for their Heisenberg Hausdorff dimension.

引用

页码：319 / 327

页数：9

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