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arXiv · 1608.08670

Compactness of Hankel operators with continuous symbols

Timothy Clos·Sonmez Sahutoglu
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Abstract

Let $Ω$ be a bounded convex Reinhardt domain in $\mathbb{C}^2$ and $ϕ\in C(\barΩ)$. We show that the Hankel operator $H_ϕ$ is compact if and only if $ϕ$ is holomorphic along every non-trivial analytic disc in the boundary of $Ω$.

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Timothy Clos, Sonmez Sahutoglu. 2017-02-27. Compactness of Hankel operators with continuous symbols. https://doi.org/10.1007/s11785-017-0659-3

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