Li Chen

activity

20162020

most citedBV functions and fractional Laplacians on Dirichlet spaces

4 citations · 5 across the 4 of their papers we have counts for

collaborators

Showing 2019Show all

3 papers · 1 filter

math.MG2019★ 4 cited

BV functions and fractional Laplacians on Dirichlet spaces

Patricia Alonso Ruiz, Fabrice Baudoin, Li Chen +3

We study $L^{p}$ Besov critical exponents and isoperimetric and Sobolev inequalities associated with fractional Laplacians on metric measure spaces. The main tool is the theory of he…

math.FA2019★ 1 cited

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 $L^{2}$ and ent…

math.FA2019

A note on Sobolev type inequalities on graphs with polynomial volume growth

Li Chen

We prove a scale of generalized $L^{p}$ -Poincaré inequalities and Sobolev type inequalities on graphs with polynomial volume growth. They are optimal on Vicsek graphs.