On Hölder Continuity of Quasiconformal Maps with VMO Dilatation

If the dilatation tensor or the matrix dilatation of a quasiconformal mapping $ f\!:\! G\to {\bf R} ^ n $ belongs to the space VMO of functions with vanishing mean oscillation, then f is locally Hölder continuous with every exponent f < 1.

Keywords:

• Quasiconformal Maps
• Functions Of Vanishing Mean Oscillation
• Hölder Continuity