Geodesic
Bounded Hankel Products on the Bergman Space of the Polydisk
Canadian journal of mathematics, Tome 61 (2009) no. 1, pp. 190-204

Voir la notice de l'article provenant de la source Cambridge University Press

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.
DOI : 10.4153/CJM-2009-009-0
Mots-clés : Toeplitz operator, Hankel operator, Haplitz products, Bergman space, polydisk 
Lu, Yufeng; Shang, Shuxia. Bounded Hankel Products on the Bergman Space of the Polydisk. Canadian journal of mathematics, Tome 61 (2009) no. 1, pp. 190-204. doi: 10.4153/CJM-2009-009-0
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