## Publicacions Matemàtiques

### Besov capacity and Hausdorff measures in metric measure spaces

Ş. Costea

#### Abstract

This paper studies Besov $p$-capacities as well as their relationship to Hausdorff measures in Ahlfors regular metric spaces of dimension $Q$ for $1<Q<p<\infty$. Lower estimates of the Besov $p$-capacities are obtained in terms of the Hausdorff content associated with gauge functions $h$ satisfying the decay condition $\int_0^1 h(t)^{1/(p-1)} \frac{dt}{t}<\infty$.

#### Article information

Source
Publ. Mat., Volume 53, Number 1 (2009), 141-178.

Dates
First available in Project Euclid: 17 December 2008

https://projecteuclid.org/euclid.pm/1229531048

Mathematical Reviews number (MathSciNet)
MR2474119

Zentralblatt MATH identifier
1171.46025

Keywords
Besov capacity Hausdorff measures

#### Citation

Costea, Ş. Besov capacity and Hausdorff measures in metric measure spaces. Publ. Mat. 53 (2009), no. 1, 141--178. https://projecteuclid.org/euclid.pm/1229531048