On Toeplitz operators with quasihomogeneous symbols

Abstract. In this paper, we give some basic results concerning Toeplitz operators whose symbol is of the form eipθ φ, where φ is a radial function, then use these results to characterize all Toeplitz operators which commute with them. 1. Introduction. Let D denote the open unit disc in the complex plane and let dA(z) = 1 π rdrdθ be normalized Lebesgue area measure on D. The Bergman space L2a is the subset of L2(D, dA), consisting of analytic functions on D. Let P be the operator of orthogona