%0 Journal Article
%T H lder continuity of harmonic quasiconformal mappings
%A Arsenovi£¿ Milo£¿
%A Manojlovi£¿ Vesna
%A Vuorinen Matti
%J Journal of Inequalities and Applications
%D 2011
%I Springer
%X We prove that for harmonic quasiconformal mappings ¦Á-H lder continuity on the boundary implies ¦Á-H lder continuity of the map itself. Our result holds for the class of uniformly perfect bounded domains, in fact we can allow that a portion of the boundary is thin in the sense of capacity. The problem for general bounded domains remains open. MSC 2010: 30C65.
%K quasi-conformal maps
%K harmonic mappings
%K H lder continuity.
%U http://www.journalofinequalitiesandapplications.com/content/2011/1/37