Triebel-Lizorkin capacity and Hausdorff measure in metric spaces

2019/10/09 by Karak, Nijjwal
#FOS: Mathematics #Functional Analysis (math.FA)

paper · doi:10.48550/arxiv.1910.03920

Abstract

We provide a upper bound for Triebel-Lizorkin capacity in metric settings in terms of Hausdorff measure. On the other hand, we also prove that the sets with zero capacity have generalized Hausdorff h-measure zero for a suitable gauge function h.

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