Surface families and boundary behavior of quasiregular mappings
Rajala, K. (2005). Surface families and boundary behavior of quasiregular mappings. Illinois Journal of Mathematics, 49(4), 1145-1153. https://doi.org/10.1215/ijm/1258138131
Published inIllinois Journal of Mathematics
DisciplineMatematiikkaGeometrinen analyysi ja matemaattinen fysiikkaMathematicsGeometric Analysis and Mathematical Physics
© 2005 University of Illinois
We study the boundary behavior of bounded quasiregular mappings f : Bn(0, 1) → Rn, n ≥ 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.
PublisherDuke University Press
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