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

2023/10/05 by Anders Björn, Jana Björn · 2 citations
Mathematics · #Advanced Harmonic Analysis Research #Nonlinear Partial Differential Equations #Geometric Analysis and Curvature Flows

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

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

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• Characterisations of Sobolev spaces and constant functions over metric spaces

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