English

Capacity in Besov and Triebel-Lizorkin spaces with generalized smoothness

Functional Analysis 2024-01-23 v1

Abstract

We prove a lower bound estimate for capacities in Hajlasz-Besov, Hajlasz-Triebel-Lizorkin and Hajlasz-Sobolev spaces with generalized smoothness defined on metric spaces in terms of Netrusov-Hausdorff content or Hausdorff content.

Keywords

Cite

@article{arxiv.2401.12020,
  title  = {Capacity in Besov and Triebel-Lizorkin spaces with generalized smoothness},
  author = {Nijjwal Karak and Debarati Mondal},
  journal= {arXiv preprint arXiv:2401.12020},
  year   = {2024}
}

Comments

To appear in Georgian Mathematical Journal