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Toeplitz Operators with BMO Symbols on Holomorphic Besov Spaces
Authors:Edgar Tchoundja
Affiliation:1. Département de Mathématiques, Faculté des Sciences de l’Université de Yaoundé I., B.P. 812, Yaoundé, Cameroun
Abstract:
We study the Toeplitz operator $T^{beta }_{mu }$ , on the holomorphic Besov spaces $B^p_s$ in the unit ball, for complex measures $mu $ on the unit ball. We give sufficient conditions for which $T^{beta }_{mu }$ is bounded. In the case of positive measures or $textit{BMO}^{beta }$ symbols, we obtain necessary and sufficient conditions in terms of (weighted) Berezin transform and Carleson measures for Besov spaces.
Keywords:
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