Marstrand's Theorem revisited: Projecting sets of dimension zero

被引：1

作者：

Beresnevich, Victor ^{[1
]}

Falconer, Kenneth ^{[2
]}

Velani, Sanju ^{[1
]}

Zafeiropoulos, Agamemnon ^{[1
]}

机构：

[1] Univ York, Dept Math, York YO10 5DD, N Yorkshire, England

[2] Univ St Andrews, Math Inst, St Andrews KY16 9SS, Fife, Scotland

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2019年 / 472卷 / 02期

基金：

英国工程与自然科学研究理事会;

关键词：

Hausdorff measure/dimension; Potential theory; Orthogonal projections; HAUSDORFF MEASURE;

D O I：

10.1016/j.jmaa.2018.12.025

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We establish a refinement of Marstrand's projection theorem for Hausdorff dimension functions finer than the usual power functions, including an analogue of Marstrand's Theorem for logarithmic Hausdorff dimension. (C) 2018 Elsevier Inc. All rights reserved.

引用

页码：1820 / 1845

页数：26

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