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

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.

References in corpus (5)

• Geometric analysis on Cantor sets and trees
• Extension and trace results for doubling metric measure spaces and their hyperbolic fillings
• The Wiener criterion for nonlocal Dirichlet problems
• Sharp capacity estimates for annuli in weighted R^n and in metric spaces
• Volume growth, capacity estimates, $p$-parabolicity and sharp integrability properties of $p$-harmonic Green functions

Cited by in corpus (1)

• Preserving Besov (fractional Sobolev) energies under sphericalization and flattening