A big Picard theorem for quasiregular mappings into manifolds with many ends

DOI10.1090/S0002-9939-04-07599-9zbMath1068.30010OpenAlexW1487090112WikidataQ109550695 ScholiaQ109550695MaRDI QIDQ3155946

Pekka Pankka, Ilkka Holopainen

Publication date: 5 January 2005

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9939-04-07599-9

zbMATH Keywords

Harnack inequalityPicard theoremquasiregular mapping

Mathematics Subject Classification ID

Quasiconformal mappings in (mathbb{R}^n), other generalizations (30C65)

Related Items (5)

Slow quasiregular mappings and universal coverings ⋮ Rescaling principle for isolated essential singularities of quasiregular mappings ⋮ Quasiregular mappings from a punctured ball into compact manifolds ⋮ Finite Distortion Sobolev Mappings between Manifolds are Continuous ⋮ A Lehto–Virtanen-type theorem and a rescaling principle for an isolated essential singularity of a holomorphic curve in a complex space

Cites Work

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• On the number of omitted values of entire quasiregular mappings
• Quasiregular mappings of the Heisenberg group
• A Picard type theorem for quasiregular mappings of \(\mathbb{R}^ n\) into \(n\)- manifolds with many ends
• Uniform limits of certain A-harmonic functions with applications to quasiregular mappings
• Picard's Theorem and Rickman's Theorem by Way of Harnack's Inequality

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