12 citations · 23 across the 14 of their papers we have counts for
17 papers
Sobolev spaces and Poincaré inequalities on the Vicsek fractal
Fabrice Baudoin, Li Chen
In this paper we prove that several natural approaches to Sobolev spaces coincide on the Vicsek fractal. More precisely, we show that the metric approach of Korevaar-Schoen, the ap…
Dirichlet fractional Gaussian fields on the Sierpinski gasket and their discrete graph approximations
Fabrice Baudoin, Li Chen
We define and study the Dirichlet fractional Gaussian fields on the Sierpinski gasket and show that they are limits of fractional discrete Gaussian fields defined on the sequence o…
-Poincaré inequalities on nested fractals
Fabrice Baudoin, Li Chen
We prove on some nested fractals scale invariant -Poincaré inequalities on metric balls in the range . Our proof is based on the development of the local -…
A note on second order Riesz transforms in 3-dimensional Lie groups
Fabrice Baudoin, Li Chen
We prove explicit bounds for second order Riesz transforms of the sub-Laplacian in the Lie groups , and
Multiplier theorems via martingale transforms
Rodrigo Bañuelos, Fabrice Baudoin, Li Chen +1
We develop a new approach to prove multiplier theorems in various geometric settings. The main idea is to use martingale transforms and a Gundy-Varopoulos representation for multip…
BV functions and fractional Laplacians on Dirichlet spaces
Patricia Alonso Ruiz, Fabrice Baudoin, Li Chen +3
We study Besov critical exponents and isoperimetric and Sobolev inequalities associated with fractional Laplacians on metric measure spaces. The main tool is the theory of he…