Positive Harmonic Functions on Denjoy Domains in the Complex Plane
| dc.creator | Andrievskii, Vladimir | |
| dc.date | 2006-08-25 | |
| dc.date.accessioned | 2026-07-07T07:22:11Z | |
| dc.date.available | 2026-07-07T07:22:11Z | |
| dc.description | Let $\Om$ be a domain in the complex plane $\C$ whose complement $E=\OC\setminus \Om$, where $\OC=\C\cup\{\infty\}$ is a subset of the real line (i.e. $\Om$ is a Denjoy domain). If each point of $E$ is regular for the Dirichlet problem in $\Om$, we provide a geometric description of the structure of $E$ near infinity such that the Martin boundary of $\Om$ has one or two "infinite" points. | |
| dc.identifier | https://arxiv.org/abs/math/0608643 | |
| dc.identifier | http://arxiv.org/abs/math/0608643 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/115565 | |
| dc.subject | Complex Variables | |
| dc.subject | 30C10, 30C15, 41A10 | |
| dc.title | Positive Harmonic Functions on Denjoy Domains in the Complex Plane | |
| dc.type | text |