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arXiv:0810.3098 [math.PR]AbstractReferencesReviewsResources

Probabilistic characterisation of Besov-Lipschitz spaces on metric measure spaces

Katarzyna Pietruska-Pałuba

Published 2008-10-17Version 1

We give a probabilistic characterisation of the Besov-Lipschitz spaces $Lip(\alpha,p,q)(X)$ on domains which support a Markovian kernel with appropriate exponential bounds. This extends former results of \cite{Jon,KPP1,KPP2,GHL} which were valid for $\alpha=\frac{d_w}{2},p=2$, $q=\infty,$ where $d_w$ is the walk dimension of the space $X.$

Categories: math.PR
Subjects: 46E30, 60J35
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