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Failure of Nehari's Theorem for Multiplicative Hankel Forms in Schatten Classes II

Bampouras, Konstantinos
arXiv (All) · Papers
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complex-variables
We prove that for any $p>4$ we can find a Schatten class Hankel operator $\Ha_ϕ$ defined on the Hardy space of the infinite torus $H^2(\mathbb{T}^\infty)$ that belongs to the Schatten class $S^p$ but does not admit a bounded symbol, extending the previously known range $p>(1-\logπ/\log 4)^{-1}=5.738
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