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Triebel-Lizorkin capacity and Hausdorff measure in metric spaces

In: Mathematica Slovaca, vol. 70, no. 3
Nijjwal Karak

Details:

Year, pages: 2020, 617 - 624
Keywords:
Triebel-Lizorkin spaces, capacity, Hausdorff measure
About article:
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 $h.$
How to cite:
ISO 690:
Karak, N. 2020. Triebel-Lizorkin capacity and Hausdorff measure in metric spaces. In Mathematica Slovaca, vol. 70, no.3, pp. 617-624. 0139-9918. DOI: https://doi.org/10.1515/ms-2017-0376

APA:
Karak, N. (2020). Triebel-Lizorkin capacity and Hausdorff measure in metric spaces. Mathematica Slovaca, 70(3), 617-624. 0139-9918. DOI: https://doi.org/10.1515/ms-2017-0376
About edition:
Publisher: Mathematical Institute, Slovak Academy of Sciences, Bratislava
Published: 23. 5. 2020