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Closures of finitely generated ideals in Hardy spaces

✍ Scribed by Artur Nicolau; Jordi Pau


Publisher
Springer Netherlands
Year
2001
Tongue
English
Weight
466 KB
Volume
39
Category
Article
ISSN
0004-2080

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Finitely generated ideals in A∞(D)
✍ Paolo de Bartolomeis; Giuseppe Tomassini πŸ“‚ Article πŸ“… 1982 πŸ› Elsevier Science 🌐 English βš– 398 KB

Let DE C" be a bounded pseudoconvex domain with P-smooth boundary bD and let V be an analytic subvariety of a neighborhood of 0. Let KV denote the sheaf of ideals of V. From the general theory of Oka-Cartan-Serre it follows that if f, ,...,fk E r(D, &) generate KVy.; at every point z E D, then they