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Indexed by:期刊论文

Date of Publication:2011-11-01

Journal:ACTA MATHEMATICA SINICA-ENGLISH SERIES

Included Journals:Scopus、SCIE、ISTIC

Volume:27

Issue:11

Page Number:2129-2142

ISSN No.:1439-8516

Key Words:Toeplitz operator; BMO; Berezin transform

Abstract:In this paper we prove that the boundedness and compactness of Toeplitz operator with a BMO(alpha)(1) symbol on the weighted Bergman space A(alpha)(2)(B(n)) of the unit ball is completely determined by the behavior of its Berezin transform, where alpha > -1 and n >= 1.