4 citations · 5 across the 4 of their papers we have counts for
5 papers · 1 filter
Convergence to equilibrium for hypoelliptic non-symmetric Ornstein-Uhlenbeck type operators
Fabrice Baudoin, Michel Bonnefont, Li Chen
We study a generalized curvature dimension inequality which is suitable for subelliptic Ornstein-Uhlenbeck type operators and deduce convergence to equilibrium in the and ent…
A note on Sobolev type inequalities on graphs with polynomial volume growth
Li Chen
We prove a scale of generalized -Poincaré inequalities and Sobolev type inequalities on graphs with polynomial volume growth. They are optimal on Vicsek graphs.
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…
Gundy-Varopoulos martingale transforms and their projection operators on manifolds and vector bundles
Rodrigo Bañuelos, Fabrice Baudoin, Li Chen
This paper proves the boundedness of generalized first order Riesz transforms obtained as conditional expectations of martingale transforms à la Gundy-Varopoulos for quite ge…