# 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

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