Title: Smoothness Function Spaces on Metric Spaces
Speaker: Wen Yuan (Beijing Normal University)
Time: 14:30-16:00, July10
Location: Tecent Meeting, Tecent Meeting ID: 405 270 276
Abstract: Function spaces with smoothness have wide and various applications in different areas of mathematics. In this talk, we give an introduction of the theory of function spaces with smoothness developed in the recent decades, including Sobolev, Besov and Triebel-Lizorkin spaces defined via Haj\lasz gradients and uppergradients.In particular,we give some new characterizations of Sobolev, Besov and Triebel-Lizorkin spaces on Euclidean spaces in terms of differences of ball averages, which provide a new way to introduce these spaces with high order smoothness on metric spaces.
Meeting Link: https://meeting.tencent.com/s/kSfXjWNIZJ7g
Vedio Link: https://www.bilibili.com/video/bv1zt4y1Q7au
Slides: Talk(WenYuan-HIT).pdf