Capacities and density conditions in metric spaces

2022/08/31 by Javier Canto, Lizaveta Ihnatsyeva, Canto, Javier +5 · 1 citation
Mathematics · #Fixed Point Theorems Analysis #Advanced Topology and Set Theory #Advanced Banach Space Theory

paper · pdf · doi:10.48550/arxiv.2208.14732

Abstract

We examine the relations between different capacities in the setting of a metric measure space. First, we prove a comparability result for the Riesz (β,p)-capacity and the relative Hajlasz (β,p)-capacity, for 1

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