The commutants of certain Toeplitz operators on weighted Bergman spaces

For α>−1, let be the corresponding weighted Bergman space of the unit ball in Cn. For a bounded measurable function f, let Tf be the Toeplitz operator with symbol f on . This paper describes all the functions f for which Tf commutes with a given Tg, where for strictly positive integers L1,…,Ln, or g(z)=s1|z1|⋯sn|zn|h(|z|) for non-negative real numbers s1,…,sn and a bounded measurable function h on [0,1).