Conditional Type Toeplitz Operators on L_{a}^{2}(\mathbb{D})

In this paper, we initiate the study of a new class of conditional type operators, which we call conditional type Toeplitz operators. Sufficient conditions for boundedness and compactness of conditional type Toeplitz operators on the Bergman space $L_{a}^{2}(\mathbb{D})$ will be presented. Also, some differences between conditional type Toeplitz operators and Toeplitz operators will be illustrated by examples.