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论文摘要

广义Fock空间之间的Volterra型积分算子与复合算子的乘积

Product of Volterra type integral operators and composition operators between generalized Fock spaces

作者:罗小娟(广州大学数学与信息科学学院);王晓峰(广州大学数学与信息科学学院);夏锦(广州大学数学与信息科学学院)

Author:LUO Xiao-Juan(College of Mathematics and Infromation Science, Guangzhou University);WANG Xiao-Feng(College of Mathematics and Information Science, Guangzhou University);XIA Jin(College of Mathematics and Information Science, Guangzhou University)

收稿日期:2019-03-16          年卷(期)页码:2020,57(1):32-42

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:Volterra型积分算子;复合算子;广义Fock空间;Berezin积分变换

Key words:Volterra operator; Composition operator; Generalized Fock space; Berezin integral transformation

基金项目:国家自然科学基金(11471084)

中文摘要

本文利用Berezin变换等方法等价刻画了复平面的广义Fock空间之间与Fock型空间上的Volterra型算子与复合算子乘积的有界性,紧性,Schatten-p类性质,还利用Berezin变换得到了这些算子本性范数的估计.

英文摘要

In this paper, we obtain the equivalent characterizations for the boundedness,compactness, and Schatten class properties of the product of Volterra type integral andcomposition operators between generalized Fock spaces in terms of certain Berezin transforms on the complex plane C. We also estimate the essential norms of these operators in terms of the Berezin transformations.

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