Marstrand's Theorem revisited: Projecting sets of dimension zero

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:472

Article

Beresnevich, Victor¹  Falconer, Kenneth²  Velani, Sanju¹  Zafeiropoulos, Agamemnon¹ 

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

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

关键词: Hausdorff measure/dimension;    Potential theory;    Orthogonal projections;   

DOI  :  10.1016/j.jmaa.2018.12.025

来源: Elsevier

【 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.

【 授权许可】

Free