Cohomology with L p -bounds on polycylinders

P. W. Darko and C. H. Lutterodt

International Journal of Mathematics and Mathematical Sciences, 1995, vol. 18, 1-10

Abstract:

Let Ω = Ω 1 × … × Ω n be a polycylinder in ℂ n , that is each Ω j is bounded, non-empty and open in ℂ . The main result proved here is that, if B p is the sheaf of germs of L p -holomorphic functions on Ω ¯ then H q ( Ω ¯ , B p ) = 0 for q ≥ 1 . The proof of this is then used to establish a Leray's Isomorphism with L p -bounds theorem.

Date: 1995
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:521654

DOI: 10.1155/S0161171295000603

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