20 citations · 25 across the 5 of their papers we have counts for
3 papers · 1 filter
Besov class via heat semigroup on Dirichlet spaces II: BV functions and Gaussian heat kernel estimates
Patricia Alonso-Ruiz, Fabrice Baudoin, Li Chen +3
We introduce the class of bounded variation (BV) functions in a general framework of strictly local Dirichlet spaces with doubling measure. Under the 2-Poincaré inequality and a we…
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…
Canonical diffusions on the pattern spaces of aperiodic Delone sets
Patricia Alonso-Ruiz, Michael Hinz, Alexander Teplyaev +1
We consider pattern spaces of aperiodic and repetitive Delone sets of finite local complexity. These spaces are compact metric spaces and constitute a special class of foliated spa…