On the corona problem for strongly pseudoconvex domains

DOI10.1007/s10476-022-0181-3OpenAlexW3113491177MaRDI QIDQ2678418

Akaki Tikaradze

Publication date: 23 January 2023

Published in: Analysis Mathematica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2012.15298

zbMATH Keywords

Koszul complexcorona problemstrictly pseudoconvex domains

Mathematics Subject Classification ID

Algebras of holomorphic functions of several complex variables (32A38) Banach algebra techniques applied to functions of several complex variables (32A65) Strongly pseudoconvex domains (32T15)

Cites Work

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• Integral kernels and Hölder estimates for \({\bar \partial}\) on pseudoconvex domains of finite type in \({\mathbb{C}}^ 2\)
• The corona problem with restrictions on the relative position of sublevel sets
• The Corona theorem for Denjoy domains
• Problème de la couronne pour des domaines pseudoconvexes à bord lisse. (The current problem for pseudoconvex domains with smooth boundary)
• On a theorem of Bishop and commutants of Toeplitz operators in \(\mathbb{C}^n\)
• Interpolations by bounded analytic functions and the corona problem
• The corona problem with two pieces of data

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