Capacity in Besov and Triebel-Lizorkin spaces with generalized smoothness

2024/01/22 by Nijjwal Karak, Karak, Nijjwal, Debarati Mondal +1
Mathematics · #Advanced Harmonic Analysis Research #Advanced Mathematical Physics Problems #FOS: Mathematics #Functional Analysis (math.FA) #Nonlinear Partial Differential Equations

paper · pdf · doi:10.48550/arxiv.2401.12020

openalex publication_date 2024/01/22 · openalex created_date 2024/01/24 · openalex updated_date 2026/07/28

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.

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