Konstantinos Bampouras

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20232026

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math.CV2026

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

Konstantinos Bampouras

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 $H^{2} (T^{\infty})$ that belongs to the Schat…

math.CV2026

The norm of the backward shift on $H^{4}$ is $4 φ$

Konstantinos Bampouras, Adrián Llinares

We prove that the backward shift operator on $H^{4}$ has norm equal to $4 φ$ , with $φ = \frac{1 + 5}{2}$ . Furthermore, we characterize all extremal functions; they are pr…

math.CV2025

Inner Functions, Möbius Distortion and Angular Derivatives

Konstantinos Bampouras, Artur Nicolau

We prove that an inner function has finite $L (p)$ -entropy if and only if its accumulated Möbius distortion is in $L^{p}$ , $0 < p < \infty$ . We also study the support of the po…

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

The norm of the backward shift on H4 is 4φ​

Inner Functions, Möbius Distortion and Angular Derivatives

The norm of the backward shift on $H^{4}$ is $4 φ$