The Besov capacity in metric spaces
Nuutinen, J. (2016). The Besov capacity in metric spaces. Annales Polonici Mathematici, 117(1), 59-78. https://doi.org/10.4064/ap3843-4-2016
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Annales Polonici MathematiciAuthors
Date
2016Copyright
© Instytut Matematyczny PAN, 2016. Published in this repository with the kind permission of the publisher.
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.
Publisher
Polska Akademia NaukISSN Search the Publication Forum
0066-2216Keywords
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