BV functions and Besov spaces associated with Dirichlet spaces

Alexander Teplyaev; Fabrice Baudoin; Li Chen; Luke Rogers; Nageswari Shanmugalingam; Patricia Alonso-Ruiz

arxiv: 1806.03428 · v2 · pith:EW7CR7DAnew · submitted 2018-06-09 · 🧮 math.FA · math.AP· math.MG· math.PR

BV functions and Besov spaces associated with Dirichlet spaces

Patricia Alonso-Ruiz , Fabrice Baudoin , Li Chen , Luke Rogers , Nageswari Shanmugalingam , Alexander Teplyaev This is my paper

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keywords spacesbesovdirichletfunctionsabstractappliesassociatedbounded

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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.

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BV functions and Besov spaces associated with Dirichlet spaces

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