Proceedings of the American Mathematical Society

Author(s): Georg Schneider
Journal: Proc. Amer. Math. Soc. 132 (2004), 2399-2409.
MSC (2000): Primary 47B35; Secondary 32A15
Posted: March 24, 2004
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Abstract: We consider Hankel operators of the form $H_{\overline{z}^k}: \mathcal{F}^m:=\{f : f \mbox{ is entire and} \int_{\mathbb{... ...ert f(z)\vert^2e^{-\vert z\vert^m}<\infty\}\rightarrow L^2(e^{-\vert z\vert^m})$ . Here $k,m,n \in \mathbb{N}$ . We show that in the case of one complex dimension the Hankel operators are compact but not Hilbert-Schmidt if

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