Mumtaz Hussain

Mathematician

Blog posts

A general principle for Hausdorff measure

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). https://arxiv.org/pdf/1808.02135.pdf The main result is as follows. \begin{theorem}[Hussain-Simmons, 2018]\label{HS:thm} Fix , let be a sequence of open sets in an Ahlfors -regular

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