Corona theorem for strictly pseudoconvex domains
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Published:2021
Issue:6
Volume:41
Page:843-848
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ISSN:1232-9274
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Container-title:Opuscula Mathematica
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language:en
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Short-container-title:Opuscula Math.
Abstract
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.
Publisher
AGHU University of Science and Technology Press
Subject
General Mathematics