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BOUNDED TOEPLITZ PRODUCTS ON WEIGHTED BERGMAN SPACES

Profile image of Karel StroethoffKarel Stroethoff
https://doi.org/10.1016/J.JMAA.2008.05.078
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31 pages

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Abstract

We consider the question for which square integrable analytic functions f and g on the unit disk the densely defined products T f T g are bounded on the Bergman space. We prove results analogous to those we obtained in the setting of the unweighted Bergman space [17]. We will furthermore completely describe when the Toeplitz product T f T g is invertible or Fredholm and prove results generalizing those we obtained for the un-weighted Bergman space in [18].

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References (22)

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Cited by

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