Univalent functions in model spaces

Analyse Fonctionnelle

Lieu:

Salle Kampé de Fériet M2

Orateur:

Konstantin Fedorovskiy

Affiliation:

Moscow State University

Dates:

Vendredi, 16 Novembre, 2018 - 14:00 - 15:00

Résumé:

It is planned to discuss the questions on existence and boundary behavior

of univalent functions in model spaces $K_\varTheta$ (i.e. subspacses of the

Hardy space $H^2$, invariant with respect to the backward shift). These

questions are inspired by problems of uniform approximation by polyanalytic

polynomials, where univalent functions belonging to model spaces play a crucial

role. The talk is based on recent joint works by the author, Anton Baranov, Yurii

Belov, and Alexander Borichev.