( m , λ )‎ -Berezin Transform on the Weighted Bergman Spaces over the Polydisk

Joint Authors

Lu, Yufeng
Li, Ran

Source

Journal of Function Spaces

Issue

Vol. 2016, Issue 2016 (31 Dec. 2016), pp.1-11, 11 p.

Publisher

Hindawi Publishing Corporation

Publication Date

2016-09-29

Country of Publication

Egypt

No. of Pages

11

Main Subjects

Mathematics

Abstract EN

We prove that every bounded linear operator on weighted Bergman space over the polydisk can be approximated by Toeplitz operators under some conditions.

The main tool here is the so-called ( m , λ ) -Berezin transform.

In particular, our results generalized the results of K.

Nam and D.

C.

Zheng to the case of operators acting on A λ 2 ( D n ) .

American Psychological Association (APA)

Li, Ran& Lu, Yufeng. 2016. ( m , λ ) -Berezin Transform on the Weighted Bergman Spaces over the Polydisk. Journal of Function Spaces،Vol. 2016, no. 2016, pp.1-11.
https://search.emarefa.net/detail/BIM-1108635

Modern Language Association (MLA)

Li, Ran& Lu, Yufeng. ( m , λ ) -Berezin Transform on the Weighted Bergman Spaces over the Polydisk. Journal of Function Spaces No. 2016 (2016), pp.1-11.
https://search.emarefa.net/detail/BIM-1108635

American Medical Association (AMA)

Li, Ran& Lu, Yufeng. ( m , λ ) -Berezin Transform on the Weighted Bergman Spaces over the Polydisk. Journal of Function Spaces. 2016. Vol. 2016, no. 2016, pp.1-11.
https://search.emarefa.net/detail/BIM-1108635

Data Type

Journal Articles

Language

English

Notes

Includes bibliographical references

Record ID

BIM-1108635