Corona theorem for strictly pseudoconvex domains

Nearly 60 years have passed since Lennart Carleson gave his proof of Corona Theorem for unit disc in the complex plane. It was only recently that M. Kosiek and K. Rudol obtained the first positive result for Corona Theorem in multidimensional case. Using duality methods for uniform algebras the auth...

Description complète

Enregistré dans:
Détails bibliographiques
Auteur principal: Sebastian Gwizdek
Format: article
Langue:EN
Publié: AGH Univeristy of Science and Technology Press 2021
Sujets:
Accès en ligne:https://doi.org/10.7494/OpMath.2021.41.6.843
https://doaj.org/article/a3c7028d7fe9471188071a72465d922c
Tags: Ajouter un tag
Pas de tags, Soyez le premier à ajouter un tag!
Description
Résumé:Nearly 60 years have passed since Lennart Carleson gave his proof of Corona Theorem for unit disc in the complex plane. It was only recently that M. Kosiek and K. Rudol obtained the first positive result for Corona Theorem in multidimensional case. Using duality methods for uniform algebras the authors proved "abstract" Corona Theorem which allowed to solve Corona Problem for a wide class of regular domains. In this paper we expand Corona Theorem to strictly pseudoconvex domains with smooth boundaries.