广州数学大讲坛第五期

第四十六讲——天津大学周泽华教授学术报告


题目:Complex symmetric composition operators on the spaces of holomorphic functions.

时间:2022年9月2日(周五)下午14:30-15:30

地点:腾讯会议(会议ID:854 309 824 会议密码:220902)

报告人:周泽华教授

摘要:In this talk, we give the answers to two open . questions on complex symmetric composition operators. By doing this, we give a complete description of complex symmetric composition operators whose symbols are linear fractional in the unit disk. We also investigate when weighted composition operators acting on Dirichlet spaces are complex symmetric with respect to some special conjugations, and provide some characterizations of Hermitian weighted composition operators on Dirichlet spaces in the unit ball . Furthermore, we give a sufficient and necessary condition for J-symmetric weighted composition operators on Hardy spaces.

报告人简介:

周泽华,教授,博士生导师。曾任天津大学数学系主任,教育部大学数学课程教学指导委员会委员,三个数学杂志编委。国家自然科学基金(优青)会评专家,重点项目(结题与进展)验收会评专家。现任天津市数学会常务理事,美国数学会、德国数学会的评论员。研究方向:多复变与复几何;函数空间与算子理论;线性动力系统。近年来,主要从事多复变函数空间与算子理论及线性动力系统等方面的研究。作为项目负责人承担国家自然科学基金与国际合作交流项目7项,发表论文150多篇。主要结果发表在《Mathematicheskii Sbornik》,《Math. Z》,《Michigan Math. J.》,《J. Operator Theory》,《Indiana Univ. Math. J.》,《Illinois J. Math.》,《Discrete Contin. Dyn. Syst.》,《 Integral Equations Operator Theory》,《Proc. Amer. Math. Soc.》,中国科学等国际数学期刊上。