Probabilistic characterisation of Besov-Lipschitz spaces on metric measure spaces (2008)
by
Katarzyna Pietruska-Pałuba
BibTeX
@MISC{Pietruska-Pałuba08probabilisticcharacterisation,
author = {Katarzyna Pietruska-Pałuba},
title = {Probabilistic characterisation of Besov-Lipschitz spaces on metric measure spaces },
year = {2008}
}
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Abstract
We give a probabilistic characterisation of the Besov-Lipschitz spaces Lip(α, p, q)(X) on domains which support a Markovian kernel with appropriate exponential bounds. This extends former results of [11, 14, 15, 7] which were valid for α = dw 2, p = 2, q = ∞, where dw is the walk dimension of the space X.
