UvA- Author
- Year
- 2000
- Title
- Reinhardt domains and the Gleason problem
- Publisher
- s.n.
- Document type
- Working paper
- Faculty
- Faculty of Science (FNWI)
- Institute
- Korteweg-de Vries Institute for Mathematics (KdVI)
- Abstract
-
let A(V) be the uniform algebra consisting ofthe functions which are holomorphic on a domain V, and continuous up to its boundary, and let $H^{\infty}(V)$ be the set of bounded holomorphic functions on V.Throughout this paper V will be a bounded Reinhardt domain in C^2 with $C^{2}$-boundary.We show that the maximal ideal (both in A(V) and $H^{\infty}(V))$, consisting of functions vanishingat p in V, is generated by the functions (z_1 - p_1), (z_2 - p_2), at first for the case that V is pseudoconvex, then without this condition.
- Language
- English
- Permalink
- http://hdl.handle.net/11245/1.418827
- Downloads
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