局部拟对称函数成为整体拟对称函数的伸张估计  

The Estimate of Dilatation for Local Quasisymmetric Function as a Whole Quasisymmetric Function

作　　者：王朝祥[1] 黄心中[1] 

机构地区：[1]华侨大学数学科学学院,福建泉州362021

出　　处：《漳州师范学院学报（自然科学版）》2013年第4期1-6,共6页Journal of ZhangZhou Teachers College（Natural Science)

基　　金：福建省自然科学基金资助项目(2011J0101)

摘　　要：研究局部拟对称函数为整体拟对称函数的伸张估计.对于给定两点x1、x2,利用它们关于中点对称的关系进行转化,建立关于局部拟对称函数的不等式,对化为整体拟对称的伸张给出更好的估计,改进了以前所得结果.作为应用,对一类局部拟对称函数化成整体拟对称函数进行判别.We consider the estimate of dilatation for local quasisymmetric function as a whole quasisymmetric function on one close interval. For any given two points x1、x2 , by changing to consider their median point, we prove an inequality for local quasisymmetric function and obtain a better estimate of dilatation for the constructed whole quasisymmetric function. Our results improve the one made by the previous researchers. As an application, we use obtained results to prove one set of local quasisymmetric functions to be the whole quasisymmetric functions.

关 键 词：局部拟对称函数 拟共形映照 伸张 BEURLING-AHLFORS扩张 调和拟共形映照 

分 类 号：O174.5[理学—数学]