Triebel-Lizorkin capacity and Hausdorff measure in metric spaces

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

Nijjwal Karak

Detaily:

Rok, strany: 2020, 617 - 624

Kľúčové slová:

Triebel-Lizorkin spaces, capacity, Hausdorﬀ measure

DOI: https://doi.org/10.1515/ms-2017-0376

O článku:

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 $h.$

Ako citovať:

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

O vydaní:

Vydavateľ: Mathematical Institute, Slovak Academy of Sciences, Bratislava

Publikované: 23. 5. 2020