Sharp Besov capacity estimates for annuli in metric spaces with doubling measures

2023/10/05 by Anders Björn, Jana Björn · 3 citations
Mathematics · #Advanced Harmonic Analysis Research #Besov space #Computer science #Functional analysis #Geometric Analysis and Curvature Flows #Interpolation space #Mathematical analysis #Mathematics #Measure (data warehouse) #Metric (unit) #Metric space #Nonlinear Partial Differential Equations #Pure mathematics

paper · pdf · doi:10.1007/s00209-023-03360-0

published in Mathematische Zeitschrift 305(3) (Springer Science+Business Media)

openalex publication_date 2023/10/05 · openalex created_date 2023/10/06 · openalex updated_date 2026/08/01

Abstract

Abstract We obtain precise estimates, in terms of the measure of balls, for the Besov capacity of annuli and singletons in complete metric spaces. The spaces are only assumed to be uniformly perfect with respect to the centre of the annuli and equipped with a doubling measure.

Citations

• The Wiener test and potential estimates for quasilinear elliptic equations
• Pointwise characterizations of Besov and Triebel–Lizorkin spaces and quasiconformal mappings

Cited by

• An approach to sub-Gaussian heat kernel estimates via analysis on metric spaces
• Characterisations of Sobolev spaces and constant functions over metric spaces

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