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

Abstract: We prove that for any $p&gt;4$ we can find a Schatten class Hankel operator $\Ha_φ$ defined on the Hardy space of the infinite torus $H<sup>2(\mathbb{T}<sup>\infty)$ that belongs to the Schatten class $S<sup>p$ but does not admit a bounded symbol, extending the previously known range $p&gt;(1-\logπ/\log 4)<sup>{-1}=5.7388...$.