单位多圆柱上加权Bergman空间上的复合算子

胡蓉, 胡鹏彦

doi:10.13371/j.cnki.chin.q.j.m.2014.01.002

数学季刊 >

2014 , Vol. 29 >Issue 1: 9 - 13

DOI: https://doi.org/10.13371/j.cnki.chin.q.j.m.2014.01.002

单位多圆柱上加权Bergman空间上的复合算子

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1. College of Mathematics and Finance-Economics, Sichuan University of Arts and Science 2. College of Mathematics and Computational Science, Shenzhen University

HU Rong (1985-), female, native of Nanchong, Sichuan, a lecturer of Sichuan University of Arts and Science, M.S.D., engages in several complex.

收稿日期: 2013-10-17

网络出版日期: 2022-11-28

基金资助

Supported by the Scientific Research Fund of Sichuan Provincial Education Department (13ZB0101)

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Composition Operators on the Weighted Bergman Space in the Unit Polydisk

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1. College of Mathematics and Finance-Economics, Sichuan University of Arts and Science 2. College of Mathematics and Computational Science, Shenzhen University

HU Rong (1985-), female, native of Nanchong, Sichuan, a lecturer of Sichuan University of Arts and Science, M.S.D., engages in several complex.

Received date: 2013-10-17

Online published: 2022-11-28

Supported by

Supported by the Scientific Research Fund of Sichuan Provincial Education Department (13ZB0101)

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摘要

We consider the boundedness of composition operators on the Bergman space, and shows that when it is induced by automorphism is always bounded. At first we got a change of variables formula, which is very important for the proof of the boundedness of composition operators, and then obtain an upper bound for the special operator norm on Bergman space.

关键词： bergman space; polydiski composition operators; automorphism

本文引用格式

胡蓉, 胡鹏彦 . 单位多圆柱上加权Bergman空间上的复合算子[J]. 数学季刊, 2014 , 29(1) : 9 -13 . DOI: 10.13371/j.cnki.chin.q.j.m.2014.01.002

Abstract

We consider the boundedness of composition operators on the Bergman space,and shows that when it is induced by automorphism is always bounded.At first we got a change of variables formula,which is very important for the proof of the boundedness of composition operators,and then obtain an upper bound for the special operator norm on Bergman space.

Key words： bergman space; polydiski composition operators; automorphism

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