香蕉视频

Title:聽BV functions and some functional inequalities on nested fractals.

Abstract: In this talk, we discuss functions of bounded variations (BV) on fractals which satisfy sub-Gaussian heat kernel bounds. We also prove isoperimetric inequalities and Poincare inequalities on some nested fractals. Our proofs use heat kernel methods and the key ingredient is a weak Bakry-Emery curvature type condition. The talk are based on joint works with Patricia Alonso-Ruiz, Fabrice Baudoin, Luke Rogers, Nageswari Shanmugalingam and Alexander Teplyaev.

For Zoom meeting information please contact the organizer dmitry.jakobson [at] mcgill.ca