SEMINARIO DE ANÁLISIS COMPLEJO (COMPLEX ANALYSIS SEMINAR)

Besov spaces and Schatten class Hankel operators on
Paley-Wiener spaces of convex domains

Konstantinos BAMPOURAS

NTNU, Trondheim, Norway

Wednesday, October 30, 2024 at 15:30 hr.
Room 520, Module 17, Department of Mathematics,
Universidad Autónoma de Madrid (Autonomous University of Madrid)

Abstract:
In 1957, Z. Nehari characterized bounded Hankel operators defined on the onedimensional
Hardy space. Schatten classes were also characterized by V. Peller
(2003). Multi-dimensional Hardy spaces have been related with Paley-Wiener spaces,
and a characterization of boundedness or Schatten classes are still open questions.
We will present some recent results on the characterization of Schatten class Hankel
operators on Paley-Wiener spaces of certain convex sets. This talk is joint work with
Karl-Mikael Perfekt.