Generalized Schwarzian Derivatives and Analytic Morrey Spaces

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

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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)；

Abstract

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

CLC Number:

O177

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.

[1]	Zheng Xueliang. The Inner Radius of Univalency of the Rhom busDom ain [J]. Chinese Quarterly Journal of Mathematics, 1998, 13(4): 29-32.
[2]	Wei Hanbai, Li Wanshe, Zhang Liang. Some Results on Areally Mean Valent Functions [J]. Chinese Quarterly Journal of Mathematics, 1997, 12(4): 11-15.

Generalized Schwarzian Derivatives and Analytic Morrey Spaces

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