数学系学术讲座(五十三、五十四)

发布时间: 2024-10-21 来源: 信息科学技术学院

题目Hankel operators on Fock-type spaces

内容简介:In this talk, we consider Hankel operators, with locally integrable symbols, densely defined on a family of Fock-type spaces whose weights are C3-logarithmic growth functions with mild smoothness conditions. We characterize the compactness and Schatten class membership of Hankel operators. Besides, we give characterizations of the Schatten class membership of Toeplitz operators with positive measure symbols for the small exponent 0 < p < 1.

报告人:王晓峰

报告人简介:广州大学数学与信息科学学院教授、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,研究成果发表于Math. Z.J. Geom. Anal., J. Oper. Theo., 中国科学等及被Tran. AMS录用,先后主持国家自然科学基金4项,获得过霍英东青年教师奖、广州市优秀教师等荣誉。


题目The inner radius of univalency of  certain types of convex quadrilateral polygon

内容简介:Calvis has showed that the inner radius of univalency is $2k^{2}$ for a normal circular triangle with the smallest interior angle $k\pi$, and $2[(n-2)/n]^{2}$ for a regular n-sided polygon. In this paper, using Calvis’s geometric methods, we study the inner radius of univalency of certain types of convex quadrilateral and pentagon.  We give the inner radius of univalency of  a convex quadrilateral $P$ with side sequences $aabb$ and interior angles $k\pi, 2k\pi, k\pi, 2\pi-4k\pi$, and a convex  pentagon $Q$ with side sequences $aaabb$ and interior angles $k\pi, 2k\pi, 2k\pi, k\pi, 3\pi-6k\pi$.

报告人:黄志波

报告人简介:华南师范大学教授,硕士研究生导师,数学与应用数学系主任,华南师范大学教学名师。主持国家自然科学基金2项和广东省自然科学基金2项,参与国家自然科学基金4项。研究方向:复分析,主要研究成果发表在J. Math. Anal. Appl, Acta Math. Sci, Houston J. Math., 数学学报等国内外学术期刊。


时  间:20241026日(周六)下午1530开始

地  点:石牌校区南海楼224数学系会议室


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信息科学技术学院

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