广州数学大讲坛第二期
第十八讲——重庆大学晏福刚教授学术报告
题目:Bounded Toeplitz operators on the Bergman space
时间:2025年3月24日(周一)下午15:30-16:30
地点:理学实验楼312
报告人:晏福刚 教授
摘要:The characterization of the bounded Toeplitz operators in the Bergman space is an open problem even in the simplest case of the unweighted Bergman space of unit disc. In this talk, we will introduce the recent progresses related to this problem. In particular, we study this problem via the alpha-Berezin transforms. A necessary condition for a Toeplitz operator with an L^2-symbol to be bounded is obtained. We also show that for -1<alpha<1, the boundedness for the alpha-Berezin transform of f can not imply the boundedness of the Toeplitz operator T_f.
报告人简介:
晏福刚,重庆大学教授,主要研究方向为函数空间上的算子理论及与之相关的分析问题,相关成果发表在J. Funct. Anal.、Sci. China Math.、J. Oper. Theo.等杂志,主持国家自然科学基金项目与省部级项目多项。