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math.CV2014★ 2 cited
Pavlovic's theorem in space
Kari Astala, Vesna Manojlovic
We study higher dimensional counterparts to the well-known theorem of Pavlovic \cite{pa3}, that every harmonic quasiconformal mapping of the disk is bi-Lipschitz.
math.CV2010
Hölder Continuity of Harmonic Quasiconformal Mappings
Miloš Arsenović, Vesna Manojlović, Matti Vuorinen
We prove that for harmonic quasiconformal mappings -Hölder continuity on the boundary implies -Hölder continuity of the map itself. Our result holds for the class of uniforml…