Abstract
Let \(\Omega \) be a bounded convex Reinhardt domain in \(\mathbb {C}^2\) and \(\phi \in C({\overline{\Omega }})\). We show that the Hankel operator \(H_{\phi }\) is compact if and only if \(\phi \) is holomorphic along every non-trivial analytic disc in the boundary of \(\Omega \).
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Acknowledgements
We would like to thank Trieu Le and Yunus Zeytunucu for valuable comments on a preliminary version of this manuscript.
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Communicated by Heinrich Begehr.
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Clos, T.G., Şahutoğlu, S. Compactness of Hankel Operators with Continuous Symbols. Complex Anal. Oper. Theory 12, 365–376 (2018). https://doi.org/10.1007/s11785-017-0659-3
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DOI: https://doi.org/10.1007/s11785-017-0659-3