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...

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Autor principal:	Sebastian Gwizdek
Formato:	article
Lenguaje:	EN
Publicado:	AGH Univeristy of Science and Technology Press 2021
Materias:	corona theorem banach algebra uniform algebra arens product gleason part band of measures representing measure Applied mathematics. Quantitative methods T57-57.97
Acceso en línea:	https://doi.org/10.7494/OpMath.2021.41.6.843 https://doaj.org/article/a3c7028d7fe9471188071a72465d922c
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spelling	oai:doaj.org-article:a3c7028d7fe9471188071a72465d922c2021-11-29T22:51:48ZCorona theorem for strictly pseudoconvex domains1232-9274https://doi.org/10.7494/OpMath.2021.41.6.843https://doaj.org/article/a3c7028d7fe9471188071a72465d922c2021-11-01T00:00:00Zhttps://www.opuscula.agh.edu.pl/vol41/6/art/opuscula_math_4139.pdfhttps://doaj.org/toc/1232-9274Nearly 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.Sebastian GwizdekAGH Univeristy of Science and Technology Pressarticlecorona theorembanach algebrauniform algebraarens productgleason partband of measuresrepresenting measureApplied mathematics. Quantitative methodsT57-57.97ENOpuscula Mathematica, Vol 41, Iss 6, Pp 843-848 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	corona theorem banach algebra uniform algebra arens product gleason part band of measures representing measure Applied mathematics. Quantitative methods T57-57.97
spellingShingle	corona theorem banach algebra uniform algebra arens product gleason part band of measures representing measure Applied mathematics. Quantitative methods T57-57.97 Sebastian Gwizdek Corona theorem for strictly pseudoconvex domains
description	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.
format	article
author	Sebastian Gwizdek
author_facet	Sebastian Gwizdek
author_sort	Sebastian Gwizdek
title	Corona theorem for strictly pseudoconvex domains
title_short	Corona theorem for strictly pseudoconvex domains
title_full	Corona theorem for strictly pseudoconvex domains
title_fullStr	Corona theorem for strictly pseudoconvex domains
title_full_unstemmed	Corona theorem for strictly pseudoconvex domains
title_sort	corona theorem for strictly pseudoconvex domains
publisher	AGH Univeristy of Science and Technology Press
publishDate	2021
url	https://doi.org/10.7494/OpMath.2021.41.6.843 https://doaj.org/article/a3c7028d7fe9471188071a72465d922c
work_keys_str_mv	AT sebastiangwizdek coronatheoremforstrictlypseudoconvexdomains
_version_	1718406881136869376

Corona theorem for strictly pseudoconvex domains

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