Geodesic
ON KELLOGG'S THEOREM FOR QUASICONFORMAL MAPPINGS
Glasgow mathematical journal, Tome 54 (2012) no. 3, pp. 599-603

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DOI

We give some extensions of classical results of Kellogg and Warschawski to a class ofquasiconformal (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).
DOI : 10.1017/S0017089512000171
Mots-clés : Primary 30C62, Secondary 30C20 
KALAJ, DAVID. ON KELLOGG'S THEOREM FOR QUASICONFORMAL MAPPINGS. Glasgow mathematical journal, Tome 54 (2012) no. 3, pp. 599-603. doi: 10.1017/S0017089512000171
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     title = {ON {KELLOGG'S} {THEOREM} {FOR} {QUASICONFORMAL} {MAPPINGS}},
     journal = {Glasgow mathematical journal},
     pages = {599--603},
     year = {2012},
     volume = {54},
     number = {3},
     doi = {10.1017/S0017089512000171},
     url = {http://geodesic.mathdoc.fr/articles/10.1017/S0017089512000171/}
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