108 citations · 389 across the 75 of their papers we have counts for
11 papers · 1 filter
Dirichlet forms on metric measure spaces as Mosco limits of Korevaar-Schoen energies
Patrica Alonso Ruiz, Fabrice Baudoin
This paper establishes sufficient general conditions for the existence of Mosco limits of Korevaar-Schoen energies, first in the context of Cheeger spaces and then in the con…
Yet another heat semigroup characterization of BV functions on Riemannian manifolds
Patricia Alonso Ruiz, Fabrice Baudoin
This paper provides a characterization of functions of bounded variation (BV) in a compact Riemannian manifold in terms of the short time behavior of the heat semigroup. In particu…
Transportation inequalities for Markov kernels and their applications
Fabrice Baudoin, Nathaniel Eldredge
We study the relationship between functional inequalities for a Markov kernel on a metric space and inequalities of transportation distances on the space of probability measure…
Gagliardo-Nirenberg, Trudinger-Moser and Morrey inequalities on Dirichlet spaces
Patricia Alonso Ruiz, Fabrice Baudoin
With a view towards Riemannian or sub-Riemannian manifolds, RCD metric spaces and specially fractals, this paper makes a step further in the development of a theory of heat semigro…
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…
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…
Sobolev, Poincare and isoperimetric inequalities for subelliptic diffusion operators satisfying a generalized curvature dimension inequality
Fabrice Baudoin, Bumsik Kim
By adapting some ideas of M. Ledoux \cite{ledoux2}, \cite{ledoux-stflour} and \cite{Led} to a sub-Riemannian framework we study Sobolev, Poincaré and isoperimetric inequalities ass…
Log-Sobolev inequalities for subelliptic operators satisfying a generalized curvature dimension inequality
Fabrice Baudoin, Michel Bonnefont
Let $\M$ be a smooth connected manifold endowed with a smooth measure and a smooth locally subelliptic diffusion operator which is symmetric with respect to . We assume…
A note on the boundedness of Riesz transform for some subelliptic operators
F. Baudoin, N. Garofalo
Let $\M$ be a smooth connected non-compact manifold endowed with a smooth measure and a smooth locally subelliptic diffusion operator satisfying , and which is symmet…