(m, λ)-Berezin Transform on the Weighted Bergman Spaces over the Polydisk. (29th September 2016)

• Record Type: Journal Article
• Authors: Li, Ran; Lu, Yufeng
• Other Names: Fiorenza Alberto Academic Editor.
• Is Part Of: Journal of function spaces. Volume 2016(2016)
• Publication Date: 2016-09-29
• Subjects: Function spaces -- Periodicals; 515.7305
• DOI: 10.1155/2016/6804235
• Languages: English
• ISSNs: 2314-8896

Abstract

Abstract : 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 ) .