Products of Toeplitz Operators on a Vector Valued Bergman Space

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dc.creatorKerr, Robert
dc.date2008-04-26
dc.date.accessioned2026-07-07T09:35:30Z
dc.date.available2026-07-07T09:35:30Z
dc.descriptionWe give a necessary and a sufficient condition for the boundedness of the Toeplitz product $T_FT_{G^*}$ on the vector valued Bergman space $L_a^2(\mathbb{C}^n)$, where $F$ and $G$ are matrix symbols with scalar valued Bergman space entries. The results generalize existing results in the scalar valued Bergman space case. We also characterize boundedness and invertibility of Toeplitz products $T_FT_{G^*}$ in terms of the Berezin transform, generalizing results found by Zheng and Stroethoff for the scalar valued Bergman space.
dc.description26 pages, 1 figure
dc.identifierhttps://arxiv.org/abs/0804.4234
dc.identifierhttp://arxiv.org/abs/0804.4234
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/159854
dc.subjectComplex Variables
dc.subjectFunctional Analysis
dc.subject47B35
dc.titleProducts of Toeplitz Operators on a Vector Valued Bergman Space
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