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The Corona Problem in Carleman Algebras on Non-Stein Domains in ${\mathbb C}^n$

Volume 11, Number 2 (2011), 30 - 35

The Corona Problem in Carleman Algebras on Non-Stein Domains in ${\mathbb C}^n$

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Abstract

New estimates are obtained for the $\overline{\partial}$-operator on non--Stein domains in ${\mathbb C}^n$ and the results are applied to the Corona problem in Carleman algebras on those domains.