報告承辦單位:數(shù)學(xué)與統(tǒng)計學(xué)院

報告內(nèi)容: Estimates of hyperbolic distance in the punctured sphere

報告人姓名: Toshiyuki Sugawa

報告人所在單位:Tohoku University

報告人職稱/職務(wù)及學(xué)術(shù)頭銜:教授/博導(dǎo)

報告時間:2018-10-25，14:30—15:30

報告地點:云塘校區(qū)理科樓A419

報告人簡介: Toshiyuki Sugawa，日本東北大學(xué)（Tohoku University）教授，博導(dǎo)；研究方向：Teichmüller理論、擬共形映射、單葉函數(shù)；美國數(shù)學(xué)會會員，日本數(shù)學(xué)會會員；國際有限維和無限維復(fù)分析會議常務(wù)副主席；《The Journal of Analysis》、《Bulletin of the Korean Mathematical Society》 、《Banach Journal of Mathematical Analysis》等雜志編委。

報告摘要：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).