The union problem on complex manifolds

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

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Veröffentlicht in:International journal of mathematics and mathematical sciences 2002-01, Vol.30 (10), p.621-625
1. Verfasser: Darko, Patrick W
Format: Artikel
Sprache:eng
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Zusammenfassung:Let be a relatively compact subdomain of a complex manifold, exhaustable by Stein open sets. We give a necessary and sufficient condition for to be Stein, in terms of L2 -estimates for the -operator, equivalent to the condition of Markoe (1977) and Silva (1978).
ISSN:0161-1712
1687-0425
DOI:10.1155/S0161171202007603