Restriction of Toeplitz Operators on Their Reducing Subspaces-Reference-Cited by-同舟云学术

Restriction of Toeplitz Operators on Their Reducing Subspaces

Published:2017 Issue: Volume:2017 Page:1-6
ISSN:2314-8896
Container-title:Journal of Function Spaces
language:en
Short-container-title:Journal of Function Spaces

Author:

Xu Anjian¹^ORCID,Zou Yang²

Affiliation:

1. College of Science, Chongqing University of Technology, Chongqing 400065, China

2. School of Mathematics and Information, Chongqing University of Education, Chongqing 400054, China

Abstract

We study the restrictions of analytic Toeplitz operator on its minimal reducing subspaces for the unit disc and construct their models on slit domains. Furthermore, it is shown that Tzn is similar to the sum of n copies of the Bergman shift.

Funder

Chongqing Municipal Education Commission

Publisher

Hindawi Limited

Subject

Analysis

Link

http://downloads.hindawi.com/journals/jfs/2017/2190418.pdf

Reference16 articles.

1. The Commutant of a Class of Analytic Toeplitz Operators

2. Reducing Subspaces for a Class of Multiplication Operators

3. Multiplication operators on the Bergman space via the Hardy space of the bidisk

4. Multiplication operators on the Bergman space via analytic continuation

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