Author

Konstantinos Bampouras

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Preprint Oct 2026

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

We prove that for any $p>4$ we can find a Schatten class Hankel operator $\Ha_\phi$ 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 $p>(1-\log\pi /\log 4)^{-1}=5.7388...$.

Konstantinos Bampouras · 0 citations

Preprint Aug 2026

Boundary-Weighted Fourier Inequalities for Convex Domains

We consider the natural family of Fourier inequalities for the Paley--Wiener space $\mathrm{PW}^q(\Omega)$, consisting of $L^q$-functions with Fourier support in a convex set $\Omega \subset \mathbb{R}^n$, $n \geq 2$, free of affine lines. Namely, \[ \int_{\Omega}\dfrac{|\hat{f}(x)|^p}{\omega_{\Omega}^d(x)}dx\leq C\|f\...

Konstantinos Bampouras, Karl-Mikael Perfekt · 1 citation