Reinhardt domains with a cusp at the origin
| dc.creator | Lemmers, O. | |
| dc.creator | Wiegerinck, J. | |
| dc.date | 2001-12-31 | |
| dc.date.accessioned | 2026-07-07T04:45:34Z | |
| dc.date.available | 2026-07-07T04:45:34Z | |
| dc.description | Let V be a bounded pseudoconvex Reinhardt domain in C^2 with many strictly pseudoconvex points and logarithmic image W. It was known that the maximal ideal in $H^{\infty}(V)$ consisting of all functions vanishing at (p,q) in V is generated by the coordinate functions z-p, w-q (meaning that one can solve the Gleason problem for $H^{\infty}(V)$) if W is bounded. We show that one can solve Gleason's problem for $H^{\infty}(V)$ as well if there are positive numbers $a$, $b$ and a positive rational number k/l such that V looks like {(z,w) in C^2 : a |w|^l <= |z|^k = b |w|^l} for small (z,w). | |
| dc.identifier | https://arxiv.org/abs/math/0112302 | |
| dc.identifier | http://arxiv.org/abs/math/0112302 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/63002 | |
| dc.subject | Complex Variables | |
| dc.subject | 32A07;46J15 | |
| dc.title | Reinhardt domains with a cusp at the origin | |
| dc.type | text |