Dirichlet Forms - Classics vs Fractals

发布时间：2018-05-29 作者：浏览次数：

Speaker:	刘家成教授	DateTime:	2018.5.29（周二）下午2:30-3:30
Brief Introduction to Speaker: 刘家成教授，香港中文大学 & 匹兹堡大学.		Place:	六号楼四楼会议室
Abstract:Let be a domain in with smooth boundary, it is well-known that the Sobolev spaces and , are function spaces that are associated with the Laplacian and the fractional Laplacian respectively. There are extensions of these concepts to Dirichlet forms on fractal sets with the Besov spaces as domains. In this talk, we will discuss some of the recent developments; in particular we will consider a theorem of Bourgain, Brezis and Mironescu on the limit behavior of , to , and the possible extension of the theorem to Besov spaces on .