Bounded and compact operators on the Bergman space in the unit ball of Cn

Let μ be a complex Borel measure on the unit ball of Cn and α>−1. We characterize the measures μ for which the Toeplitz operator is bounded or compact on the Bergman space , where dν is the normalized Lebesgue measure on the unit ball of Cn. Our results also include the case of more general operators in . These results extend to several dimensions the results of Agbor, Békollé and Tchoundja (2011) [2], and Wu, Zhao and Zorborska (2006) [11].