An egg-yolk principle and exponential integrability for quasiregular mappings
| dc.creator | Poggi-Corradini, Pietro | |
| dc.creator | Rajala, Kai | |
| dc.date | 2006-07-13 | |
| dc.date.accessioned | 2026-07-07T07:18:19Z | |
| dc.date.available | 2026-07-07T07:18:19Z | |
| dc.description | Quasiregular mappings $f:Ω\subset\R^{n}\to \R^{n}$ are a natural generalization of analytic functions from complex analysis and provide a theory which is rich with new phenomena. In this paper we extend a well-known result of A.~Chang and D.~Marshall on exponential integrability of analytic functions in the disk, to the case of quasiregular mappings defined in the unit ball of $\R^n$. To this end, we first establish an ``egg-yolk'' principle for such maps, which extends a recent result of the first author. Our work leaves open an interesting problem regarding $n$-harmonic functions. | |
| dc.description | 16 pages | |
| dc.identifier | https://arxiv.org/abs/math/0607319 | |
| dc.identifier | http://arxiv.org/abs/math/0607319 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/114261 | |
| dc.subject | Complex Variables | |
| dc.subject | Analysis of PDEs | |
| dc.subject | 30C65 | |
| dc.title | An egg-yolk principle and exponential integrability for quasiregular mappings | |
| dc.type | text |