Let S denote the unit sphere in C and define the Hardy space H (S) be the closure in L (S) of the restriction of polynomials in the coordinates z 1,..., z n. Let P be the projection onto Hardy space. It is known that if m (f) denotes multiplication by a continuous function f on S, then the commutator [P, m (f)] is compact. Consequently, defining the Toeplitz operator by