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ON KELLOGG'S THEOREM FOR QUASICONFORMAL MAPPINGS

Published online by Cambridge University Press:  30 March 2012

DAVID KALAJ
DAVID KALAJ*
Affiliation:
University of Montenegro, Faculty of Natural Sciences and Mathematics, Cetinjski put b.b. 81000 Podgorica, Montenegro e-mail: davidk@ac.me
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Abstract

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We give some extensions of classical results of Kellogg and Warschawski to a class of quasiconformal (q.c.) mappings. Among the other results we prove that a q.c. mapping f, between two planar domains with smooth C1,α boundaries, together with its inverse mapping f−1, is C1,α up to the boundary if and only if the Beltrami coefficient μf is uniformly α Hölder continuous (0 < α < 1).

Keywords

Primary 30C62Secondary 30C20
Type
Research Article
Information
Glasgow Mathematical Journal , Volume 54 , Issue 3 , September 2012 , pp. 599 - 603
Copyright
Copyright © Glasgow Mathematical Journal Trust 2012

References

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