Capacity in Besov and Triebel–Lizorkin spaces with generalized smoothness-Reference-Cited by-同舟云学术

Capacity in Besov and Triebel–Lizorkin spaces with generalized smoothness

Published:2024-04-24 Issue: Volume: Page:
ISSN:1072-947X
Container-title:Georgian Mathematical Journal
language:en
Short-container-title:

Author:

Karak Nijjwal¹^ORCID,Mondal Debarati²

Affiliation:

1. Department of Mathematics , Birla Institute of Technology and Science Pilani, Hyderabad Campus , Hyderabad - 500078 , India

2. Department of Mathematics , Birla Institute of Technology and Science-Pilani, Hyderabad Campus , Hyderabad - 500078 , India

Abstract

Abstract We prove a lower bound estimate for capacities in Hajłasz–Besov, Hajłasz–Triebel–Lizorkin and Hajłasz–Sobolev spaces with generalized smoothness defined on metric spaces in terms of Netrusov–Hausdorff content or Hausdorff content. These results are improvements of the results obtained in [Z. Li, D. Yang and W. Yuan, Lebesgue points of Besov and Triebel–Lizorkin spaces with generalized smoothness, Mathematics 9 2021, 10.3390/math9212724].

Publisher

Walter de Gruyter GmbH

Link

https://www.degruyter.com/document/doi/10.1515/gmj-2024-2015/pdf

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