华侨大学学报（自然科学版）2026，Vol.47Issue(5)：615-618,4.DOI:10.11830/ISSN.1000-5013.202411024
上半平面到自身的调和拟共形映射的极值性
Extremality of Harmonic Quasiconformal Mapping of Upper Half Plane Onto Itself
摘要
Abstract
To discuss the extremality of harmonic quasiconformal mappings of upper half plane,the angular complex dilatationκ(z)is used to describe extremal dilation and harmonic quasiconformal mapping from upper half plane onto itself.The harmonic quasiconformal extensions from upper half plane onto itself with the given boundary functions h(x)=x+k/πsin πx,0≤k＜1 are proved to be non-extreme quasiconformal mappings.关键词
极值性/上半平面/调和拟共形映照/角复特征Key words
extremality/upper-half plane/harmonic quasiconformal mapping/angular complex dilatation分类
数理科学引用本文复制引用
林珍连..上半平面到自身的调和拟共形映射的极值性[J].华侨大学学报（自然科学版）,2026,47(5):615-618,4.基金项目
国家自然科学基金资助项目(12071161) （12071161）
福建省自然科学基金资助项目(2023J01127,2021J01304) （2023J01127,2021J01304）
