Corona theorem for strictly pseudoconvex domains

Opuscula Mathematica

article

Sebastian Gwizdek¹ 

[1] AGH University of Science and Technology, Faculty of Applied Mathematics AGH

关键词: Corona theorem;    Banach algebra;    uniform algebra;    Arens product;    Gleason part;    band of measures;    representing measure.;   

DOI  :  10.7494/OpMath.2021.41.6.843

学科分类：环境科学（综合）

来源: AGH University of Science and Technology Press

【 摘 要 】

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.

【 授权许可】

CC BY-NC