A1 Refereed original research article in a scientific journal
Hölder continuity of harmonic quasiconformal mappings
Authors: Arsenović M., Manojlović V., Vuorinen M.
Publication year: 2011
Journal: Journal of Inequalities and Applications
Journal name in source: Journal of Inequalities and Applications
Volume: 2011
Issue: 37
Number of pages: 5
ISSN: 1025-5834
DOI: https://doi.org/10.1186/1029-242X-2011-37
Web address : http://api.elsevier.com/content/abstract/scopus_id:84868123182
Abstract
We prove that for harmonic quasiconformal mappings α-Hölder continuity on the boundary implies α-Hölder 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. © 2011 Arsenoviéć et al; licensee Springer.
We prove that for harmonic quasiconformal mappings α-Hölder continuity on the boundary implies α-Hölder 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. © 2011 Arsenoviéć et al; licensee Springer.
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