Year: 2026
Type: preprint
Abstract: 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 $p>(1-\logπ/\log 4)^{-1}=5.7388...$.
Source: arXiv (Cornell University)
Author: Bampouras, Konstantinos
Institution: Aalto University
Language: English
Subfield: Applied Mathematics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7220731163