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Bounded Hankel Products on the Bergman Space of the Polydisk
Published online by Cambridge University Press: 20 November 2018
Abstract
We consider the problem of determining for which square integrable functions $f$ and $g$ on the polydisk the densely defined Hankel product ${{H}_{f}}\,H_{g}^{*}$ is bounded on the Bergman space of the polydisk. Furthermore, we obtain similar results for the mixed Haplitz products ${{H}_{g}}\,{{T}_{{\bar{f}}}}$ and ${{T}_{f}}\,H_{g}^{*}$, where $f$ and $g$ are square integrable on the polydisk and $f$ is analytic.
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- Research Article
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- Copyright © Canadian Mathematical Society 2009
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