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论文摘要

对数Bergman 型空间到Bloch空间上的Stevic-Sharma 算子

Stevic-Sharma operators from Logarithmic Bergman-type spaces to Bloch spaces

作者:胡小波(眉山职业技术学院教育系)

Author:HU Xiao-Bo(Sichuan Teachers Training Department, Meishan Vocational and Technical College)

收稿日期:2017-04-17          年卷(期)页码:2018,55(1):0025-0030

期刊名称:四川大学学报: 自然科学版

Journal Name:Journal of Sichuan University (Natural Science Edition)

关键字:对数Bergman型空间;Bloch空间;Stevic-Sharma算子;有界性;紧性

Key words:Logarithmic Bergman-type space;Bloch space;Stevic-Sharma operator;boundedness;compactness

基金项目:国家自然科学基金青年基金(11201323),四川省教育厅重点项目(15ZA0221)

中文摘要

设是复平面中的开单位圆盘,是到自身的解析映射,是上的解析函数空间. 为了统一研究复合算子、乘积算子和微分算子三者的乘积,Stevic和Sharma 引进了Stevic-Sharma 算子. 受最新研究成果的影响,本文利用符号函数给出了对数Bergman 型空间到Bloch空间上Stevic-Sharma 算子的有界性、紧性刻画。

英文摘要

Let D be the open unit disk in the complex plane C. In order to unify the products of composition, multiplication and differentiation operators, Stevic and Sharma introduced the following, so-called, Stevic-Sharma operator. Motivated by the recent results of this operator, the boundedness and compactness of the operatorfrom logarithmic Bergman-type space to Bloch space are characterized in this paper.

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