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.

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