“Optimal domain of integration Operators”
Martedì 8 Aprile 2025, ore 17:00 - Aula 2AB40 - Georgios Nikolaidis (Phd Student at Aristotle University of Thessaloniki)
Abstract
For an analytic function g in Hol(D), we discuss some properties of the integral operator Tg. In particular, we discuss about the largest space of analytic functions, which is mapped by Tg into the Hardy space Hp. We call this space the optimal domain of integration operator and we investigate its structural properties. Motivation for this comes from the work of G. Curbera and W. Ricker who studied the optimal domain of the classical Cesáro operator, while also investigating properties of non-radial weighted Bergman spaces.
The talk is based on articles, which were in joint work with C. Bellavita, A. Belli, V. Daskalogiannis, G. Styllogiannis.
