报告题目：Gromov hyperbolic John is quasihyperbolic John

报告专家：佛山科技学院周青山博士

报告时间：2022年7月11日16:30-18:30

报告地点：数统院会议室

邀请人：李佩瑾

报告摘要：In this talk, we introduce a concept of quasihyperbolic John spaces and provide a necessary and sufficient condition for a space to be quasihyperbolic John. Using this criteria, we exhibit a simple proof to show that a John space with a Gromov hyperbolic quasihyperbolization is quasihyperbolic John, quantitatively. Both bounded and unbounded cases are in our considerations.

This result provides a new approach to an elementary metric geometry question, formulated by Heinonen (Rev. Math. Iber., 1989), which has been studied by Gehring, Hag and Martio (Math. Scand., 1989). This is a recent work joint with Antti Rasila, Yaxiang Li, and Saminathan Ponnusamy.

专家简介：周青山，博士，佛山科技学院教师。研究领域为拟共形映射和度量空间上的分析。目前在《J. Geom. Anal.》、《Ann. Acad. Sci. Fenn. Math.》、《Proc. Amer. Math. Soc.》、《C. R. Math. Acad. Sci. Paris》等国际期刊发表学术论文20余篇。