We consider the problem of determining for which square integrablefunctions $f$ and $g$ on the polydisk the densely defined Hankelproduct $H_{f}H_g^ast$ is bounded on the Bergman space of thepolydisk. Furthermore, we obtain similar results for the mixedHaplitz products $H_{g}T_{ar{f}}$ and $T_{f}H_{g}^{*}$, where $f$and $g$ are square integrable on the polydisk and $f$ is analytic.
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机译：我们考虑这样一个问题，即确定密集定义的Hankel乘积$ H_ {f} H_g ^ ast $在多磁盘上的哪个平方可积函数$ f $和$ g $在多磁盘的Bergman空间上有界。此外，对于混合Haplitz乘积$ H_ {g} T_ {ar {f}} $和$ T_ {f} H_ {g} ^ {*} $，我们获得相似的结果，其中$ f $和$ g $是平方可积的在polydisk上，$ f $可以解析。
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