一、会议时间:2023年5月12日至14日,12日报到,13日-14日上午会议,14日下午离会。
二、会议地点:英国威廉希尔公司。
三、用餐时间:早餐—7:00-8:00, 午餐—12:00-14:00,
晚餐—18:00-20:00。
地点:中州颐和酒店。
四、会议联系人:
张晓飞:Email: zhxfei@mail.ustc.edu.cn ,18337501717;
李鸿军:Email: henanlihj@126.com, 18237847098。
会议报告摘要
Clifford-Fourier 变换
报告人:乔玉英(河北师范大学)
摘 要:本报告介绍Clifford代数、Clifford分析及Clifford-Fourier 变换. 给出了Clifford-Fourier 变换的定义类型、主要研究的问题、研究时遇到的困难及解决问题的方法.
The refinement of Fekete and Szegö problems for
close-to-convex functions and close-to-quasi-convex mappings
报告人:徐庆华(浙江科技学院)
Two generalizations of Schwarz lemma in higher dimensions
报告人:王建飞(华侨大学)
摘 要:Schwarz lemma and the boundary Schwarz lemma play significant roles to study the geometric function theory in one and several complex variables. In this talk, we will respectively give our recent two generalizations on the boundary Schwarz lemma in higher dimensions, which extend the related results for the unit ball.
The generalized Schwarz-Pick lemma of determinant type
in several complex variables
报告人:刘小松(岭南师范学院)
摘 要:In this article, the generalized Schwarz-Pick lemma of the Jacobi determinant of $J_f(z)J^*_f(z)$ for holomorphic mappings $f $ which map the unit polydisk $U_n$ and the unit Euclidean ball $B_n$ into the unit polydisk $U_m$ is first mainly established. The generalized Schwarz-Pick lemma of the trace of $J_f(z)J^*_f(z)$ for above mappings is next obtained as well, where $J_f(z)$ is the Jacobi matrix of $f(z)$, and $J^*_f(z)=\overline{J_f(z)}^T$. In particular, the derived results are asymptotically sharp for holomorphic mappings $f$ from $U_n$ into $U_m$. Our results reduce to the classical result of one dimension.
Schwarz lemma at the boundary on the
classical domain of type I
报告人:唐笑敏 (湖州师范学院)
摘 要: In this talk, we give a sufficient and necessary condition such that the boundary points of the classical domain of type I are smooth, and obtain some properties of the smooth boundary points. And then we establish the boundary Schwarz lemma on the classical domain of type I. This is a joint work with Prof. TaiShun Liu.
A cauchy integral formula for (p,q)-monogenic functions
with α- weight in superspace
报告人:谢永红(河北师范大学)
摘 要: Firstly, some properties for (p,q)-monogenic functions with α-weight in superspace are obtained. Then, Cauchy-Pompeiu formula in superspace is given. Finally, Cauchy integral Formula for (p,q)-monogenic functions with α-weight in superspace is proved.
Loewner chains applied to g-starlike mappings of
complex order of complex Banach spaces
报告人:张晓飞(平顶山学院)
摘 要:This paper is devoted to studying geometric properties and analytic properties of g-starlike mappings of complex order λ. By using Loewner chains, we obtain the growth theorems for g-starlike mappings of complex order λ on the unit ball in reflexive complex Banach spaces, which generalize some results of Graham, Hamada and Kohr. As applications, several different kinds of distortion theorems for g-starlike mappings of complex order λ are obtained. Finally, we prove that the Roper-Suffridge extension operators preserve the property of g-starlike mappings of complex order λ in complex Banach spaces, which generalizes many classical results.