Toeplitz Operators on the Dirichlet Space of ?n

Joint Authors

Lin, HongZhao
Lu, Yu Feng

Source

Abstract and Applied Analysis

Issue

Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-21, 21 p.

Publisher

Hindawi Publishing Corporation

Publication Date

2012-11-20

Country of Publication

Egypt

No. of Pages

21

Main Subjects

Mathematics

Abstract EN

We study the algebraic properties of Toeplitz operators on the Dirichlet space of the unit ball ?n.

We characterize pluriharmonic symbol for which the corresponding Toeplitz operator is normal or isometric.

We also obtain descriptions of conjugate holomorphic symbols of commuting Toeplitz operators.

Finally, the commuting problem of Toeplitz operators whose symbols are of the form zpz¯qϕ(|z|2) is studied.

American Psychological Association (APA)

Lin, HongZhao& Lu, Yu Feng. 2012. Toeplitz Operators on the Dirichlet Space of ?n. Abstract and Applied Analysis،Vol. 2012, no. 2012, pp.1-21.
https://search.emarefa.net/detail/BIM-511414

Modern Language Association (MLA)

Lin, HongZhao& Lu, Yu Feng. Toeplitz Operators on the Dirichlet Space of ?n. Abstract and Applied Analysis No. 2012 (2012), pp.1-21.
https://search.emarefa.net/detail/BIM-511414

American Medical Association (AMA)

Lin, HongZhao& Lu, Yu Feng. Toeplitz Operators on the Dirichlet Space of ?n. Abstract and Applied Analysis. 2012. Vol. 2012, no. 2012, pp.1-21.
https://search.emarefa.net/detail/BIM-511414

Data Type

Journal Articles

Language

English

Notes

Includes bibliographical references

Record ID

BIM-511414