Solving the Gleason problem on linearly convex domains
| Authors |
|
|---|---|
| Publication date | 2001 |
| Publisher | s.n. |
| Organisations |
|
| Abstract | Let V be a bounded, connected linearly convex set in C^n with C^{1+\epsilon}-boundary. We show that in the ring of holomorphic functions that are bounded on V, as well as in the ring of holomorphic functions that are continuous up to the boundary of V, the maximal ideal consisting of all functions vanishing at p in V is generated by the coordinate functions z_1 - p_1, ..., z_n - p_n. |
| Document type | Working paper |
| Language | English |
| Downloads | |
| Permalink to this page | |