Nonremovable sets for Hölder continuous quasiregular mappings in the plane

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dc.creatorClop, Albert
dc.date2006-04-20
dc.date.accessioned2026-07-07T07:11:08Z
dc.date.available2026-07-07T07:11:08Z
dc.descriptionWe show that for any dimension t>2(1+alpha K)/(1+K) there exists a compact set E of dimension t and a function alpha-Holder continuous on the plane, which is K-quasiregular only outside of E. To do this, we construct an explicit K-quasiconformal mapping that gives, by one side, extremal dimension distortion on a Cantor-type set, and by the other, more Holder continuity than the usual 1/K.
dc.description17 pages, 3 figures
dc.identifierhttps://arxiv.org/abs/math/0604444
dc.identifierhttp://arxiv.org/abs/math/0604444
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/111638
dc.subjectAnalysis of PDEs
dc.subject30C60, 35J15, 35J70
dc.titleNonremovable sets for Hölder continuous quasiregular mappings in the plane
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