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math.FA2026

Generalized Foguel-Hankel Operators

Nikolaos Chalmoukis, Giovanni Marano

The paper defines a broader class of Foguel‑Hankel operators by replacing the unilateral shift with a general multiplication operator on the Hardy space, studies when these operato…

math.FA2026

Uncentred maximal operators with respect to half balls on Damek--Ricci spaces

Nikolaos Chalmoukis, Stefano Meda, Effie Papageorgiou +1

In this paper we study a variant of the uncentred Hardy--Littlewood maximal operator on Damek--Ricci spaces in which balls are replaced by suitable half balls. Perhaps surprisingly…

math.FA2026

Operators with small Kreiss constants

Nikolaos Chalmoukis, Georgios Tsikalas, Dmitry Yakubovich

We investigate matrices satisfying the Kreiss condition with lying arbitrarily close to We provide lower bo…

math.FA2026

Maximal subspaces of strong continuity for composition semigroups

Nikolaos Chalmoukis, Álvaro Miguel Moreno

Let a semigroup of holomorphic self-maps of the unit disk and the semigroup of composition operators which corresponds to Given…

math.FA2025

Quaternionic Carleson measures

Nikolaos Chalmoukis, Giulia Sarfatti

In this paper we provide a general construction of a quaternionic Banach space of slice regular functions from a given Banach space of holomorphic functions, which we call its quat…

math.FA2025

Simply interpolating and Carleson sequences for Hardy spaces in the polydisc

Nikolaos Chalmoukis, Alberto Dayan

We study the relation between simply and universally interpolating sequences for the holomorphic Hardy spaces on the polydisc. In dimension a sequence is…