Abstract
Let \(\Omega \) be a bounded pseudoconvex domain in \({\mathbb {C}}^2\) with Lipschitz boundary or a bounded convex domain in \({\mathbb {C}}^n\) and \(\phi \in C(\overline{\Omega })\) such that the Hankel operator \(H_{\phi }\) is compact on the Bergman space \(A^2(\Omega )\). Then \(\phi \circ f\) is holomorphic for any holomorphic \(f:{\mathbb {D}}\rightarrow b\Omega \).
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We would like to thank Emil Straube for reading an earlier manuscript of this paper and for providing us with valuable comments. We also thank the referee for feedback that has improved the exposition of the paper.
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Clos, T.G., Çelik, M. & Şahutoğlu, S. Compactness of Hankel Operators with Symbols Continuous on the Closure of Pseudoconvex Domains. Integr. Equ. Oper. Theory 90, 71 (2018). https://doi.org/10.1007/s00020-018-2497-8
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DOI: https://doi.org/10.1007/s00020-018-2497-8