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arXiv:1806.03428 [math.FA]AbstractReferencesReviewsResources

BV functions and Besov spaces associated with Dirichlet spaces

Patricia Alonso-Ruiz, Fabrice Baudoin, Li Chen, Naotaka Kajino, Luke Rogers, Nageswari Shanmugalingam, Alexander Teplyaev

Published 2018-06-09Version 1

We develop a theory of bounded variation functions and Besov spaces in abstract Dirichlet spaces which unifies several known examples and applies to new situations, including fractals.

Comments: 121 pages, several figures
Categories: math.FA, math.AP, math.MG, math.PR
Subjects: 31C25, 46E35, 26A45, 28A80, 60J45
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