Algebraic Properties of Toeplitz Operators on the Polydisk

Joint Authors

Zhang, Bo
Shi, Yanyue
Lu, Yu Feng

Source

Abstract and Applied Analysis

Issue

Vol. 2011, Issue 2011 (31 Dec. 2011), pp.1-18, 18 p.

Publisher

Hindawi Publishing Corporation

Publication Date

2011-11-22

Country of Publication

Egypt

No. of Pages

18

Main Subjects

Mathematics

Abstract EN

We discuss some algebraic properties of Toeplitz operators on the Bergman space of the polydisk Dn.

Firstly, we introduce Toeplitz operators with quasihomogeneous symbols and property (P).

Secondly, we study commutativity of certain quasihomogeneous Toeplitz operators and commutators of diagonal Toeplitz operators.

Thirdly, we discuss finite rank semicommutators and commutators of Toeplitz operators with quasihomogeneous symbols.

Finally, we solve the finite rank product problem for Toeplitz operators on the polydisk.

American Psychological Association (APA)

Zhang, Bo& Shi, Yanyue& Lu, Yu Feng. 2011. Algebraic Properties of Toeplitz Operators on the Polydisk. Abstract and Applied Analysis،Vol. 2011, no. 2011, pp.1-18.
https://search.emarefa.net/detail/BIM-511759

Modern Language Association (MLA)

Zhang, Bo…[et al.]. Algebraic Properties of Toeplitz Operators on the Polydisk. Abstract and Applied Analysis No. 2011 (2011), pp.1-18.
https://search.emarefa.net/detail/BIM-511759

American Medical Association (AMA)

Zhang, Bo& Shi, Yanyue& Lu, Yu Feng. Algebraic Properties of Toeplitz Operators on the Polydisk. Abstract and Applied Analysis. 2011. Vol. 2011, no. 2011, pp.1-18.
https://search.emarefa.net/detail/BIM-511759

Data Type

Journal Articles

Language

English

Notes

Includes bibliographical references

Record ID

BIM-511759