Invited by Prof. Sibei Yang of School of Mathematics and Statistics, Prof. Jun Cao from Zhejiang University of Technology will give a lecture.

Title:Heat Kernels and Besov Spaces on Metric Measure Spaces

Time: 3:30 p.m.,Jul. 26th, 2021

Location: Room 401, Polytechnic building

Abstract:Let M be a metric measure space satisfying the volume doubling condition and supports a heat kernel satisfying the upper and lower Gaussian bounds. We study the problem of identity of two families of Besov spaces, where the former one is defined using purely the metric measure structure of M, while the latter one is defined by means of the heat semigroup associated with the heat kernel. We prove that the identity holds for a range of parameters p, q, s given by some Hardy-Littlewood-Sobolev Kato diagram.