The Besov capacity in metric spaces

• Autorzy: Juho Nuutinen
• Języki publikacji: EN

Abstrakty

EN

We study a capacity theory based on a definition of Hajłasz-Besov functions. We prove several properties of this capacity in the general setting of a metric space equipped with a doubling measure. The main results of the paper are lower bound and upper bound estimates for the capacity in terms of a modified Netrusov-Hausdorff content. Important tools are γ-medians, for which we also prove a new version of a Poincaré type inequality.

Kategorie tematyczne

• 31B15: Potentials and capacities, extremal length
• 31E05: Potential theory on metric spaces

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Annales Polonici Mathematici
• Rocznik: 2016
• Tom: 117
• Numer: 1
• Strony: 59-78

Daty

wydano

2016

Twórcy

autor

Juho Nuutinen

• Department of Mathematics and Statistics, P.O. Box 35, University of Jyväskylä, FI-40014, Finland

Identyfikatory

DOI

10.4064/ap3843-4-2016