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math.CV2026

Loewner chains with multiple boundary attraction points: A construction via close-to-convex functions

Georgios Nikolaidis, Eleftherios K. Theodosiadis, Konstantinos Zarvalis

In this work we construct multi-slit \textit{chordal Loewner chains} with multiple attraction points on the real line. We build a model domain with the use of close-to-convex funct…

math.CV2025

Fractional Volterra-type operator induced by radial weight acting on Hardy space

Carlo Bellavita, Álvaro Miguel Moreno, Georgios Nikolaidis +1

Given a radial doubling weight on the unit disc of the complex plane and its odd moments , we consider the fractional deriv…

math.CV2025

Trace ideal criteria for generalized integration operators

Georgios Nikolaidis

For , we study the class of generalized integration operators , acting on Hardy and Bergman spaces of the unit disc in the complex pla…

math.CV2024

Meromorphic Optimal domain of Integral Operators

Carlo Bellavita, Anil Belli, Georgios Nikolaidis +1

For , we introduce the meromorphic optimal domain , i.e. the space containing the meromorphic functions that are mapped under the action of the generalized Vo…

math.CV2024

On the boundedness of generalized integration operators on Hardy spaces

Nikolaos Chalmoukis, Georgios Nikolaidis

We study the boundedness and compactness properties of the generalized integration operator when it acts between distinct Hardy spaces in the unit disc of the complex pla…

math.CV2024

Optimal Domain of generalized Volterra operators

Carlo Bellavita, Vasilis Daskalogiannis, Georgios Nikolaidis +1

For g in BMOA, we consider the generalized Volterra operator T_g acting on Hardy spaces H^p. This article aims to study the largest space of analytic functions, which is mapped by…