Toeplitz and Hankel Products on Bergman Spaces of the Unit Ball

The authors give some new necessary conditions for the boundedness of Toeplitzproducts TafTagon the weighted Bergman space A2a of the unit ball, where f and g are analytic on the unit ball. Hankel products HfH*g on the weighted Bergman space of the unit ball are studied, and the results analogous to those Stroethoff and Zheng obtained in the setting of unit disk are proved.