Z. Cuckovic et Nv. Rao, MELLIN TRANSFORM, MONOMIAL SYMBOLS, AND COMMUTING TOEPLITZ-OPERATORS, Journal of functional analysis, 154(1), 1998, pp. 195-214
In this paper we give necessary and sufficient conditions for a symbol
that produces a Toeplitz operator on the Bergman space that commutes
with another such operator whose symbol is a monomial. The result is s
tated in terms of the Mellin transform of the symbol. As a corollary,
we show that a Toeplitz operator with a radial symbol may only commute
with another such operator with a radial symbol. (C) 1998 Academic Pr
ess.