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arXiv:1910.03920 [math.FA]AbstractReferencesReviewsResources

Triebel-Lizorkin capacity and Hausdorff measure in metric spaces

Nijjwal Karak

Published 2019-10-09Version 1

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 $h.$

Comments: to appear in Math. Slovaca
Categories: math.FA
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