The Corona problem in Carleman algebras on Stein manifolds

DOI10.1007/BF03323365zbMath1111.32035MaRDI QIDQ860139

Patrick W. Darko

Publication date: 23 January 2007

Published in: Results in Mathematics (Search for Journal in Brave)

zbMATH Keywords

\(\overline {\partial}\)-operatorCarleman algebras, Stein manifold, Corona problem

Mathematics Subject Classification ID

(overlinepartial) and (overlinepartial)-Neumann operators (32W05) Stein spaces (32E10) Algebras of holomorphic functions of several complex variables (32A38) (overlinepartial)-Neumann problems and formal complexes in context of PDEs (35N15)

Cites Work

• \(L^ 2\) estimates and existence theorems for the \(\partial\)-operator
• Generators for some rings of analytic functions

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