A1 Vertaisarvioitu alkuperäisartikkeli tieteellisessä lehdessä
Hölder continuity of harmonic quasiconformal mappings
Tekijät: Arsenović M., Manojlović V., Vuorinen M.
Julkaisuvuosi: 2011
Journal: Journal of Inequalities and Applications
Tietokannassa oleva lehden nimi: Journal of Inequalities and Applications
Vuosikerta: 2011
Numero: 37
Sivujen määrä: 5
ISSN: 1025-5834
DOI: https://doi.org/10.1186/1029-242X-2011-37
Verkko-osoite: http://api.elsevier.com/content/abstract/scopus_id:84868123182
Tiivistelmä
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.
Turun yliopiston Tutkimustietojärjestelmän portaali