An Extension of Bergman Spaces and their Toeplitz Operators

A Bergman space HL2(Bd, du_eta) is non-zero if and only if eta>-1. We define new spaces,HL2(Bd,eta), which are the same as Bergman spaces if eta>-1 but non-zero for eta>-(d+1). We define Toeplitz operators associated with polynomials to the spaces HL2(Bd,eta) when -(d+1)