Generalized Schwarzian Derivatives and Analytic Morrey Spaces

JIN Jian-jun, LI Hua-bing, TANG Shu-an

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

Chinese Quarterly Journal of Mathematics >

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

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

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

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)；

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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

Cite this article

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

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