题       目：Geometric characterizations of Gromov hyperbolic Holder domains  

报  告 人：周青山   佛山科学技术学院

报告时间：2024年5月9日(周四)下午 16：30-17：30

报告地点：龙洞校区教学楼 314

摘要：In this talk, a joint work with Rasila Antti, we investigate Holder continuity of quasiconformal mappings from the points of view of quasihyperbolic geometry and the theory of Gromov hyperbolic spaces. We establish several characterizations of Gromov hyperbolic domains satisfying the Gehring-Martio type quasihyperbolic boundary conditions. As applications, we generalize certain results concerning Holder continuity of conformal mappings, establishing counterparts of results of Becker-Pommerenke, Smith-Stegenga, and Nakki-Palka in higher dimensional Euclidean spaces.

专家简介：周青山，博士，佛山科学技术学院副教授。研究兴趣为拟共形映射与度量空间上的分析, 已先后在J. Geom. Anal、Israel J. Math、 Studia Math. Proc. Amer. Math. Soc. , Ann Acad Sci Fenn Math等国际数学期刊上发表论文30多篇。