Mathematics > Complex Variables
arXiv:2603.25483 (math)
[Submitted on 26 Mar 2026 (v1), last revised 15 Jun 2026 (this version, v2)]
Abstract:We characterize Hilbert-Schmidt Hankel operators on the Bergman spaces of smooth bounded strongly pseudoconvex domains in $\mathbb{C}^n$ for $n \geq 2$. We consider harmonic symbols of class $C^3$ up to the closure of the domain and show $H_{\phi}$ is Hilbert-Schmidt if and only if $\phi$ is holomorphic on the domain.
Submission history
From: Timothy Clos [view email]
[v1]
Thu, 26 Mar 2026 14:23:57 UTC (8 KB)
[v2]
Mon, 15 Jun 2026 20:54:48 UTC (11 KB)
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