paper

Capacity in Besov and Triebel-Lizorkin spaces with generalized smoothness

arXiv:2401.12020

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.

To appear in Georgian Mathematical Journal