A general principle for Hausdorff measure-Reference-Cited by-同舟云学术

A general principle for Hausdorff measure

Published:2019-06-10 Issue:9 Volume:147 Page:3897-3904
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Hussain Mumtaz,Simmons David

Abstract

We introduce a general principle for studying the Hausdorff measure of limsup sets. A consequence of this principle is the well-known Mass Transference Principle of Beresnevich and Velani (2006).

Funder

Engineering and Physical Sciences Research Council

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

https://www.ams.org/proc/2019-147-09/S0002-9939-2019-14539-1/proc14539_AM.pdf

Reference9 articles.

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2. A mass transference principle and the Duffin-Schaeffer conjecture for Hausdorff measures;Beresnevich, Victor;Ann. of Math. (2),2006

3. Cambridge Tracts in Mathematics;Bernik, V. I.,1999

4. A dichotomy law for the diophantine properties in 𝛽-dynamical systems;Coons, Michael;Mathematika,2016

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