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

Release Time:2019-03-13  Hits:

Indexed by: Journal Article

Date of Publication: 2016-01-01

Journal: JOURNAL OF FUNCTION SPACES

Included Journals: SCIE

ISSN: 2314-8896

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,lambda)-Berezin transform. In particular, our results generalized the results of K. Nam and D.C. Zheng to the case of operators acting on A(lambda)(2) (D-n).

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