Journal of Operator Theory

Volume 86, Issue 2, Fall 2021  pp. 317-329.

Compact Hankel operators with bounded symbols

Authors:  Raffael Hagger (1), Jani A. Virtanen (2)
Author institution:(1) Department of Mathematics and Statistics, University of Reading, Whiteknights Campus, Reading RG6 6AX, U.K.
(2)Department of Mathematics and Statistics, University of Reading, Whiteknights Campus, Reading RG6 6AX, U.K.

Summary: We give a new proof of the result that the Hankel operator $H_f$ with a bounded symbol is compact on standard weighted Fock spaces $F^2_\alpha(\mathbb{C}^n)$ if and only if $H_{\overline f}$ is compact. Our proof uses limit operator techniques and extends to $F^p_\alpha(\mathbb{C}^n)$ when \$1

DOI: http://dx.doi.org/10.7900/jot.2020apr27.2276
Keywords: Hankel operators, Fock spaces, Bergman spaces, compactness, limit operators