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Hankel Operators on the Bergman Space of the Unit Polydisc

Hankel Operators on the Bergman Space of the Unit Polydisc

Let $D$ be the unit polydisc in ${\mathbb {C}^n}$. Let ${H^2}(D)$ be the Bergman space of $D$. In this paper, by using the integral representations of solutions to the $\overline \partial$-equations, we give function theoretic characterizations of functions $f \in {L^2}(D)$ such that the Hankel operators ${H_f}$ from the Bergman …