学术报告
Geometric characterizations of embedding theorems-Prof. Yongsheng Han （Auburn University）
题目：Geometric characterizations of embedding theorems
报告人：Prof. Yongsheng Han （Auburn University）
Abstract：
The embedding theorem arises in several problems from analysis and geometry, particularly in PDE. The purpose of this talk is to describe a deep understanding of analysis and geometry with a particular focus on embedding theorems for spaces such as the domains in Rn: We prove that embedding theorems hold if and only if geometric conditions, namely the measures of all balls have lower bounds, hold. We make no additional geometric assumptions on the quasi-metric or the doubling measure and thus, the results extend to the full generality of all related previous ones, in which the extra geometric assumptions were made on both the quasi-metric d and the measure : As applications, our results provide new and sharp previous related embedding theorems for the Sobolev, Besov and Triebel-Lizorkin spaces. The crucial tool used is the remarkable orthonormal wavelet constructed recently by Auscher and Hytonen.
时间：4月20日（周四）下午4：00-5：00
地点：首师大校本部新教二楼509
欢迎全体师生积极参加！
