Surface families and boundary behavior of quasiregular mappings
Rajala, Kai
Illinois J. Math., Tome 49 (2005) no. 2, p. 1145-1153 / Harvested from Project Euclid
Text on Project Euclid
PDF
Alt PDF
We study the boundary behavior of bounded quasiregular mappings $f: B^n(0,1)\to \rn$, $n \geq 3$. We show that there exists a large family of cusps, with vertices on the boundary sphere $S^{n-1}(0,1)$, so that the images of these cusps under $f$ have finite $(n-1)$-measure.
Publié le : 2005-10-15
Classification:  30C65 
@article{1258138131,
     author = {Rajala, Kai},
     title = {Surface families and boundary behavior of quasiregular mappings},
     journal = {Illinois J. Math.},
     volume = {49},
     number = {2},
     year = {2005},
     pages = { 1145-1153},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1258138131}
}

Rajala, Kai. Surface families and boundary behavior of quasiregular mappings. Illinois J. Math., Tome 49 (2005) no. 2, pp.  1145-1153. http://gdmltest.u-ga.fr/item/1258138131/