75 citations · 80 across the 4 of their papers we have counts for
3 papers · 1 filter
Besov class via heat semigroup on Dirichlet spaces I: Sobolev type inequalities
Patricia Alonso-Ruiz, Fabrice Baudoin, Li Chen +3
We introduce heat semigroup-based Besov classes in the general framework of Dirichlet spaces. General properties of those classes are studied and quantitative regularization estima…
BV functions and Besov spaces associated with Dirichlet spaces
Patricia Alonso-Ruiz, Fabrice Baudoin, Li Chen +3
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 fract…
Energy measure closability for Dirichlet forms
Michael Hinz, Alexander Teplyaev
We consider symmetric Dirichlet forms on locally compact and non-locally compact spaces and provide an elementary proof for their closability with respect to energy dominant measur…