广义Schwarz导数与解析Morrey空间

doi:10.13371/j.cnki.chin.q.j.m.2019.02.005

数学季刊 ›› 2019, Vol. 34 ›› Issue (2): 171-187.doi: 10.13371/j.cnki.chin.q.j.m.2019.02.005

广义Schwarz导数与解析Morrey空间

School of Mathematics Sciences,Hefei University of Technology,Xuancheng CampusSchool of Mathematics Sciences,Guizhou Normal University

接受日期:2019-02-24 出版日期:2019-06-30 发布日期:2020-10-06
作者简介:JIN Jian-jun(1980-), male, lecturer, engages in the theory of function.
基金资助:
supported by National Natural Science Foundation of China(Grant No.11601100)； the PhD research startup foundation of Guizhou Normal University(Grant No.11904-05032130006)； supported by National Natural Science Foundation of China(Grant No.11501157)；

Generalized Schwarzian Derivatives and Analytic Morrey Spaces

School of Mathematics Sciences,Hefei University of Technology,Xuancheng CampusSchool of Mathematics Sciences,Guizhou Normal University

Accepted:2019-02-24 Online:2019-06-30 Published:2020-10-06
About author:JIN Jian-jun(1980-), male, lecturer, engages in the theory of function.
Supported by:
supported by National Natural Science Foundation of China(Grant No.11601100)； the PhD research startup foundation of Guizhou Normal University(Grant No.11904-05032130006)； supported by National Natural Science Foundation of China(Grant No.11501157)；

摘要/Abstract

摘要： In this paper, we study univalent functions f for which log f’belongs to the analytic Morrey spaces. By using the characterization of higher order derivatives of functions in analytic Morrey spaces, we establish some new descriptions for the analytic Morrey domains in terms of two kinds of generalized Schwarzian derivatives.

关键词: Analytic Morrey spaces, univalent functions, Schwarzian derivative, generalized Schwarzian derivatives, Carleson measure

Abstract: In this paper, we study univalent functions f for which log f’belongs to the analytic Morrey spaces. By using the characterization of higher order derivatives of functions in analytic Morrey spaces, we establish some new descriptions for the analytic Morrey domains in terms of two kinds of generalized Schwarzian derivatives.

Key words: Analytic Morrey spaces, univalent functions, Schwarzian derivative, generalized Schwarzian derivatives, Carleson measure

中图分类号:

O177

金建军, 李华冰, 唐树安. 广义Schwarz导数与解析Morrey空间[J]. 数学季刊, 2019, 34(2): 171-187.

JIN Jian-jun, LI Hua-bing, TANG Shu-an. Generalized Schwarzian Derivatives and Analytic Morrey Spaces[J]. Chinese Quarterly Journal of Mathematics, 2019, 34(2): 171-187.

广义Schwarz导数与解析Morrey空间

Generalized Schwarzian Derivatives and Analytic Morrey Spaces

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