Mapping properties of analytic functions on the disk
| dc.creator | Poggi-Corradini, Pietro | |
| dc.date | 2006-01-04 | |
| dc.date.accessioned | 2026-07-07T06:58:32Z | |
| dc.date.available | 2026-07-07T06:58:32Z | |
| dc.description | There is a universal constant $0<r_0<1$ with the following property. Suppose that $f$ is an analytic function on the unit disk $\D$, and suppose that there exists a constant $M>0$ so that the Euclidean area, counting multiplicity, of the portion of $f(\D)$ which lies over the disk $D(f(0),M)$, centered at $f(0)$ and of radius $M$, is strictly less than the area of $D(f(0),M)$. Then $f$ must send $r_0\bar{\D}$ into $D(f(0),M)$. This answers a conjecture of Don Marshall. | |
| dc.description | 7 pages | |
| dc.identifier | https://arxiv.org/abs/math/0601080 | |
| dc.identifier | http://arxiv.org/abs/math/0601080 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/107394 | |
| dc.subject | Complex Variables | |
| dc.subject | 30C55 | |
| dc.title | Mapping properties of analytic functions on the disk | |
| dc.type | text |