The Besov capacity in metric spaces
Copyright policy )The Besov capacity in metric spaces
We study a capacity theory based on a definition of Haj�� asz-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 $��$-medians, for which we also prove a new version of a Poincar�� type inequality.
- University of Jyväskylä Finland
metric spaces, Potential theory on fractals and metric spaces, capacity, ta111, kapasiteetti, metriset avaruudet, Potentials and capacities, extremal length and related notions in higher dimensions, Functional Analysis (math.FA), Mathematics - Functional Analysis, Besov spaces, FOS: Mathematics, Matematiikka, Mathematics
metric spaces, Potential theory on fractals and metric spaces, capacity, ta111, kapasiteetti, metriset avaruudet, Potentials and capacities, extremal length and related notions in higher dimensions, Functional Analysis (math.FA), Mathematics - Functional Analysis, Besov spaces, FOS: Mathematics, Matematiikka, Mathematics
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