当前位置: 首页 > 新闻中心 > 学术活动 > 正文

Fock projections on vector-valued Lp-spaces with matrix weights

发布日期:2024-10-28点击数:

报告人:陈家乐 博士后(陕西师范大学)

时间:2024年11月02日 10:50-

地址:数统学院LD302


摘要:In this talk, we characterize the d×d matrix weights W on C^n such that the Fock projection P_{\alpha} is bounded on the vector-valued spaces L^p_{\alpha,W}(C^n;C^d) induced by W. It is proved that for 1<=p<\infty, the Fock projection P_{\alpha} is bounded on L^p_{\alpha,W}(C^n;C^d) if and only if W satisfies a restricted A_p-condition. Then we show some applications to vector-valued Fock spaces in the case p=2, including the density of polynomials, Littlewood-Paley formula, embedding theorems and boundedness of Volterra type integration operators. This is based on joint works with Prof. Maofa Wang.


邀请人:秦越石,王奕,王子鹏,晏福刚,赵显锋


欢迎广大师生积极参与!

关于我们
重庆大学数学与统计学院的前身是始建于1929年的重庆大学理学院和1937年建立的重庆大学商学院,理学院是重庆大学最早设立的三个学院之一,首任院长为数学家何鲁先生。