Chinese Quarterly Journal of Mathematics >

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

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

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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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

Cite this article

HU Rong, HU Peng-yan . Composition Operators on the Weighted Bergman Space in the Unit Polydisk[J]. Chinese Quarterly Journal of Mathematics, 2014 , 29(1) : 9 -13 . DOI: 10.13371/j.cnki.chin.q.j.m.2014.01.002

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