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Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)

 

 

Picard's theorem and Rickman's theorem by way of Harnack's inequality


Author: John L. Lewis
Journal: Proc. Amer. Math. Soc. 122 (1994), 199-206
MSC: Primary 30C65
DOI: https://doi.org/10.1090/S0002-9939-1994-1195483-3
MathSciNet review: 1195483
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Abstract: In this note we give a very elementary proof of Picard's Theorem and Rickman's Theorem which uses only Harnack's inequality.


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Additional Information

DOI: https://doi.org/10.1090/S0002-9939-1994-1195483-3
Keywords: Picard's theorem, harmonic functions, Harnack's inequality, quasiregular mappings, omitted values, unique continuation
Article copyright: © Copyright 1994 American Mathematical Society