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广义Schwarz导数与解析Morrey空间(英文)
Generalized Schwarzian Derivatives and Analytic Morrey Spaces
【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.
【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.
【关键词】 Analytic Morrey spaces;
univalent functions;
Schwarzian derivative;
generalized Schwarzian derivatives;
Carleson measure;
【Key words】 Analytic Morrey spaces; univalent functions; Schwarzian derivative; generalized Schwarzian derivatives; Carleson measure;
【Key words】 Analytic Morrey spaces; univalent functions; Schwarzian derivative; generalized Schwarzian derivatives; Carleson measure;
【基金】 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)
- 【文献出处】 数学季刊(英文版) ,Chinese Quarterly Journal of Mathematics , 编辑部邮箱 ,2019年02期
- 【分类号】O177
- 【下载频次】35