Commuting Slant Toeplitz Operators on the Bergman Space

This paper shows that on the Bergman space of the open unit disk, the slant Toeplitz operator $T_{p+\phi }$ and $T_{p+\psi }$ commute if and only if $\phi =\psi$ ,where $\phi$ and $\psi$ are both bounded analytic functions, and $p$ is ananalytic polynomial.