国家天元数学中部中心学术报告 | 刘小松 副教授(嘉应学院)

发布时间: 2023-04-07 18:09

报告题目:Embedding Derivatives and Area Operators of Hardy Spaces into Lebesgue Spaces in the Unit Ball of Cn

报告时间:2023-04-11  10:00-11:00

报告人:刘小松 副教授  嘉应学院

报告地点:老外楼基础数学系报告厅

报告摘要:We characterize the compactness of embedding derivatives from  Hp into Lq for 0<p,q<∞.We also characterize the boundedness and compactness of area operators from  Hp into Lq . Some of the tools used in the proof of the one dimensional case are not available in higher dimensions, such as the strong factorization of Hardy spaces. Therefore, we need the theory of tent spaces which was established by Coifman, Mayer and Stein in 1985.