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Classification of Reducing Subspaces of a Class of Multiplication Operators on the Bergman Space via the Hardy Space of the Bidisk

Published online by Cambridge University Press:  20 November 2018

Shunhua Sun ,
Dechao Zheng  and
Changyong Zhong
Shunhua Sun
Affiliation:
Institute of Mathematics, Jiaxing University, Jiaxing, Zhejiang, 314001, P.R. China, e-mail: shsun@mail.zjxu.edu.cn
Dechao Zheng
Affiliation:
Department of Mathematics, Vanderbilt University, Nashville, TN 37240 USA, e-mail: dechao.zheng@vanderbilt.edu
Changyong Zhong
Affiliation:
Department of Mathematics and Statistics, Georgia State University Atlanta, GA 30303, USA, e-mail: matcyz@langate.gsu.edu
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Abstract

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In this paper we obtain a complete description of nontrivial minimal reducing subspaces of the multiplication operator by a Blaschke product with four zeros on the Bergman space of the unit disk via the Hardy space of the bidisk.

Keywords

47B3547B38
Type
Research Article
Information
Canadian Journal of Mathematics , Volume 62 , Issue 2 , 01 April 2010 , pp. 415 - 438
Copyright
Copyright © Canadian Mathematical Society 2010

References

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