Cohomology with Lp-bounds on polycylinders
| Autor: | P. W. Darko, C. H. Lutterodt |
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| Jazyk: | angličtina |
| Rok vydání: | 1995 |
| Předmět: | |
| Zdroj: | International Journal of Mathematics and Mathematical Sciences, Vol 18, Iss 3, Pp 475-484 (1995) |
| Druh dokumentu: | article |
| ISSN: | 0161-1712 1687-0425 01611712 |
| DOI: | 10.1155/S0161171295000603 |
| Popis: | Let Ω=Ω1×…×Ωn be a polycylinder in ℂn, that is each Ωj is bounded, non-empty and open in ℂ. The main result proved here is that, if Bp is the sheaf of germs of Lp-holomorphic functions on Ω¯ then Hq(Ω¯,Bp)=0 for q≥1. The proof of this is then used to establish a Leray's Isomorphism with Lp-bounds theorem. |
| Databáze: | Directory of Open Access Journals |
| Externí odkaz: |
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