  We characterize the commutant of the analytic Toeplitz operators modulo
operators of Schatten-p-class on suitable multivariable domains. We show that a
result of J. Xia on compact perturbations of Toeplitz operators on the unit
disc remains true on strictly pseudoconvex and symmetric domains in C^n if the
ideal of compact operators is replaced by the Schatten-p-classes with p
strictly less than infinity.
