广义Schwarz导数与解析Morrey空间

金建军, 李华冰, 唐树安

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

数学季刊 >

2019 , Vol. 34 >Issue 2: 171 - 187

DOI: https://doi.org/10.13371/j.cnki.chin.q.j.m.2019.02.005

广义Schwarz导数与解析Morrey空间

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

JIN Jian-jun(1980-), male, lecturer, engages in the theory of function.

录用日期: 2019-02-24

网络出版日期: 2020-10-06

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)；

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Generalized Schwarzian Derivatives and Analytic Morrey Spaces

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

JIN Jian-jun(1980-), male, lecturer, engages in the theory of function.

Accepted date: 2019-02-24

Online published: 2020-10-06

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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

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

Abstract

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

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