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arXiv · 2604.26722

Recovering Product BMO from Schatten Hankel operators

Konstantinos Bampouras·Karl-Mikael Perfekt
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Abstract

We prove that if a small Hankel operator on the product Hardy space belongs to some Schatten class $S^p$, $p < \infty$, then it has a symbol in product BMO. In other words, the conclusion of Nehari's theorem holds under the hypothesis that the operator belongs to a Schatten class.

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Konstantinos Bampouras, Karl-Mikael Perfekt. 2026-04-29. Recovering Product BMO from Schatten Hankel operators. https://arxiv.org/abs/2604.26722

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