TY  - JOUR
ID  - Gwizdek2021
LB  - Gwizdek2021
AU  - Gwizdek, Sebastian
TI  - Corona theorem for strictly pseudoconvex domains
ST  - Corona theorem for strictly pseudoconvex domains
JO  - Opuscula Math.
JA  - Opuscula Math.
JF  - Opuscula Mathematica
PY  - 2021
VL  - 41
IS  - 6
SP  - 843
EP  - 848
DO  - https://doi.org/10.7494/OpMath.2021.41.6.843
UR  - https://doi.org/10.7494/OpMath.2021.41.6.843
AB  - 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.
KW  - Corona theorem
KW  - Banach algebra
KW  - uniform algebra
KW  - Arens product
KW  - Gleason part
KW  - band of measures
KW  - representing measure
SN  - 1232-9274
ER  -