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BOUNDED TOEPLITZ AND HANKEL PRODUCTS ON THE WEIGHTED BERGMAN SPACES OF THE UNIT BALL

BOUNDED TOEPLITZ AND HANKEL PRODUCTS ON THE WEIGHTED BERGMAN SPACES OF THE UNIT BALL

Let $A_{{\it\alpha}}^{p}$ be the weighted Bergman space of the unit ball in ${\mathcal{C}}^{n}$ , $n\geq 2$ . Recently, Miao studied products of two Toeplitz operators defined on $A_{{\it\alpha}}^{p}$ . He proved a necessary condition and a sufficient condition for boundedness of such products in terms of the Berezin transform. We …