报告人：王晓峰（广州大学）

时间：2023年11月16日 14:30 -

腾讯会议ID：338 794 120

报告摘要：In this paper, two classes of multiparameter Forelli-Rudin type operators defined on the product of unit balls in $C^n$  are introduced, which are natural extensions of the well-known Forelli-Rudin type operators originated by Forelli and Rudin in 1974, and further studied by Kures-Zhu in 2006, Zhao in 2015, and Zhao-Zhou in 2022. By establishing some new Schur's tests, in this paper, we completely characterize the boundedness of these two classes operators from one mixed-norm Lebesgue space $L^{\overrightarrow{p}}$  to another space $L^{\overrightarrow{q}}$, when $1\leq \overrightarrow{p}\leq \overrightarrow{q}<\infty$, equipped with possibly different weights. With these characterizations, we are able to obtain the necessary and sufficient conditions for both $L^{\overrightarrow{p}}\to L^{\overrightarrow{q}}$  boundedness of the weighted multiparameter Berezin transform and $L^{\overrightarrow{p}}\to L^{\overrightarrow{q}}$  boundedness of the weighted multiparameter Bergman projection, where $A^{\overrightarrow{q}}$  denotes the mixed-norm Bergman space.

报告人简介：王晓峰，1974年出生，教授，博士生导师，长期从事基础数学研究工作，主要研究方向为算子理论与算子代数。曾到美国进行一年的学术访问，近年来在国内外有重要影响的学术刊物，如《Journal of Geometric Analysis》、《Journal of Operator Theory》、《Integral Equations and Operator Theory》、《Science China Mathematics》等上发表论文50余篇。先后主持国家自然科学基金3项，曾获得霍英东青年教师奖、广州市优秀教师等荣誉。

邀请人：秦越石、王奕、王子鹏、晏福刚、赵显锋