Abstract:

In this paper, we first study the commutativity of H-Toeplitz operators with radial symbols on the harmonic Bergman space. Next, we give some necessary and sufficient conditions for the product of an H-Toeplitz operator with a radial symbol and an H-Hankel operator to be either another H-Toeplitz operator or another H-Hankel operator.

Key words: harmonic Bergman space, H-Toeplitz operators, commutativity, H-Hankel operators