报告承办单位:数学与统计学院

报告内容: Estimates of hyperbolic distance in the punctured sphere

报告人姓名: Toshiyuki Sugawa

报告人所在单位:Tohoku University

报告人职称/职务及学术头衔:教授/博导

报告时间:2018-10-25，14:30—15:30

报告地点:云塘校区理科楼A419

报告人简介: Toshiyuki Sugawa，日本东北大学（Tohoku University）教授，博导；研究方向：Teichmüller理论、拟共形映射、单叶函数；美国数学会会员，日本数学会会员；国际有限维和无限维复分析会议常务副主席；《The Journal of Analysis》、《Bulletin of the Korean Mathematical Society》 、《Banach Journal of Mathematical Analysis》等杂志编委。

报告摘要：It is well recognized that the values of a holomorphic function on the unit diskis controlled by the hyperbolic distance of the domain containing its image.It is, however, not easy in general to estimate the hyperbolic distance of a plane domain.In this talk, we will propose a method to construct a computable quantity which is comparable with the hyperbolic distance of a punctured sphere.This talk is based on joint work with Tanran Zhang (Soochow University) and, partly,Matti Vuorinen (University of Turku).