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

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

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.

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Veröffentlicht in:Mathematische Zeitschrift 2023-11, Vol.305 (3), Article 41
Hauptverfasser: Anders, Björn, Jana, Björn
Format: Artikel
Sprache:eng
Schlagworte:
Annuli
Estimates
Mathematics
Mathematics and Statistics
Metric space
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Beschreibung
Zusammenfassung: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.
ISSN:0025-5874
1432-1823
1432-1823
DOI:10.1007/s00209-023-03360-0