Canadian Mathematical Society www.cms.math.ca
Search results

Search: All articles in the CJM digital archive with keyword Haplitz products

 Expand all        Collapse all Results 1 - 1 of 1

1. CJM 2009 (vol 61 pp. 190)

Lu, Yufeng; Shang, Shuxia
 Bounded Hankel Products on the Bergman Space of the Polydisk We consider the problem of determining for which square integrable functions $f$ and $g$ on the polydisk the densely defined Hankel product $H_{f}H_g^\ast$ 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. Keywords:Toeplitz operator, Hankel operator, Haplitz products, Bergman space, polydiskCategories:47B35, 47B47

© Canadian Mathematical Society, 2013 : http://www.cms.math.ca/