Mathematical Sciences - Analysis and PDE Seminar - "Sobolev inequalities on Besov class associated with Dirichlet spaces" by Li Chen (University of Connecticut)

Thursday, November 08, 2018
12:00 pm to 1:00 pm
Floor/Room #: 
104

Speaker: Li Chen, University of Connecticut

Title: Sobolev inequalities on Besov class associated with Dirichlet spaces

SOBOLEV INEQUALITIES ON BESOV CLASS ASSOCIATED WITH DIRICHLET SPACES LI CHEN UNIVERSITY OF CONNECTICUT In this talk, I will introduce the Besov classes defined via heat semigroup on general Dirichlet spaces and their basic properties. I will then discuss several Sobolev and isoperimetric inequalities with sharp exponents in this general framework. This is a joint work with P. Alonso-Ruiz, F. Baudoin, L. Rogers, N. Shanmugalingam and A. Teplyaev.