On Beltrami equations and Hoelder regularity
| dc.creator | Ricciardi, Tonia | |
| dc.date | 2006-02-06 | |
| dc.date.accessioned | 2026-07-07T07:03:08Z | |
| dc.date.available | 2026-07-07T07:03:08Z | |
| dc.description | We estimate the Hoelder exponent $α$ of solutions to the Beltrami equation $\dbar f=μ\de f$, where the Beltrami coefficient satisfies $\|μ\|_\infty<1$. Our estimate improves the classical estimate $α\ge\|K_μ\|^{-1}$, where $K_μ=(1+|μ|)/(1-|μ|)$, and it is sharp, in the sense that it is actually attained in a class of mappings which generalize the radial stretchings. Some other properties of such mappings are also provided. | |
| dc.description | 9 pages | |
| dc.identifier | https://arxiv.org/abs/math/0602095 | |
| dc.identifier | http://arxiv.org/abs/math/0602095 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/108859 | |
| dc.subject | Analysis of PDEs | |
| dc.subject | Complex Variables | |
| dc.subject | 30C62; 35J25 | |
| dc.title | On Beltrami equations and Hoelder regularity | |
| dc.type | text |