Quasiregular mappings to generalized manifolds

Jani Onninen; Kai Rajala

doi:10.1007/s11854-009-0028-x

Quasiregular mappings to generalized manifolds

Jani Onninen, Kai Rajala

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

23 Scopus citations

Abstract

We establish the basic analytic and geometric properties of quasiregular maps f: Ω → X, where Ω ⊂ ℝⁿ is a domain and X is a generalized n-manifold with a suitably controlled geometry. Generalizing the classical Väisälä and Poletsky inequalities, our main theorem shows that the path family method applies to these maps.

Original language	English (US)
Pages (from-to)	33-79
Number of pages	47
Journal	Journal d'Analyse Mathematique
Volume	109
Issue number	1
DOIs	https://doi.org/10.1007/s11854-009-0028-x
State	Published - Oct 2009

ASJC Scopus subject areas

Analysis
General Mathematics

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abstract = "We establish the basic analytic and geometric properties of quasiregular maps f: Ω → X, where Ω ⊂ ℝn is a domain and X is a generalized n-manifold with a suitably controlled geometry. Generalizing the classical V{\"a}is{\"a}l{\"a} and Poletsky inequalities, our main theorem shows that the path family method applies to these maps.",

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AB - We establish the basic analytic and geometric properties of quasiregular maps f: Ω → X, where Ω ⊂ ℝn is a domain and X is a generalized n-manifold with a suitably controlled geometry. Generalizing the classical Väisälä and Poletsky inequalities, our main theorem shows that the path family method applies to these maps.

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Quasiregular mappings to generalized manifolds

Abstract

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