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arXiv · 1805.05829

Compactness of Hankel operators with symbols continuous on the closure of pseudoconvex domains

Timothy G. Clos·Mehmet Celik·Sonmez Sahutoglu
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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 $H_{\phi}$ is compact on $A^2(\Omega)$. Then $\phi\circ f$ is holomorphic for any holomorphic $f:\mathbb{D}\rightarrow b\Omega$.

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Timothy G. Clos, Mehmet Celik, Sonmez Sahutoglu. 2018-05-15. Compactness of Hankel operators with symbols continuous on the closure of pseudoconvex domains. https://doi.org/10.1007/s00020-018-2497-8

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