Nehari函数族的偏差性质与拟共形延拓  

On the Distortion Property and Quasiconformal Extension of a Nehari Class

作　　者：谢志春 李东征 XIE Zhi-chun;LI Dong-zheng(Department of Mathematics,Xiamen Institute of Technology,Xiamen 361021,China;Public Course Teaching Department,Xiamen Medical College,Xiamen 361023,China)

机构地区：[1]厦门工学院数学系,福建厦门361021 [2]厦门医学院公共课教学部,福建厦门361023

出　　处：《数学的实践与认识》2020年第8期229-233,共5页Mathematics in Practice and Theory

基　　金：福建省中青年教师教育科研项目(JAT170807,JAT170812);厦门工学院科研项目(KY2017004,KY2017009)。

摘　　要：研究某一Nehari函数族的偏差性质,得到这类函数族的H?lder连续性及若干偏差定理,同时讨论了该函数类的拟共形延拓问题,并给出拟共形延拓的复伸张估计,推广了杨宗信等人相应的结论.The distortion properties of the Nehari class are investigated,and obtains the H?lder continuity of the function family and some deviation theorems.The quasiconformal extension of the class is also considered,and the dilatation is estimated,the results generalized the corresponding one made by Yang.

关 键 词：Nehari函数族 SCHWARZ导数 偏差性质 拟共形延拓 

分 类 号：O174.55[理学—数学]