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arXiv · 1910.03920

Triebel-Lizorkin capacity and Hausdorff measure in metric spaces

Nijjwal Karak
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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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Nijjwal Karak. 2019-10-09. Triebel-Lizorkin capacity and Hausdorff measure in metric spaces. https://arxiv.org/abs/1910.03920

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