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Abstract
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International Journal of Mathematics and Mathematical Sciences
Volume 30 (2002), Issue 10, Pages 621-625
doi:10.1155/S0161171202007603

The union problem on complex manifolds

Patrick W. Darko

Department of Mathematics and Computer Science, Lincoln University, Lincoln University 19352, PA, USA

Abstract

Let Ω be a relatively compact subdomain of a complex manifold, exhaustable by Stein open sets. We give a necessary and sufficient condition for Ω to be Stein, in terms of L2 -estimates for the ∂¯-operator, equivalent to the condition of Markoe (1977) and Silva (1978).