Under Harmonic Quasiconformal Homeomorphisms of the Unit Disk

  title={Under Harmonic Quasiconformal Homeomorphisms of the Unit Disk},
  author={Miroslav Pavlovi{\'c}}
Let f be a harmonic homeomorphism of the unit disk onto itself. The following conditions are equivalent: (a) f is quasiconformal; (b) f is bi-Lipschitz in the Euclidean metric; (c) the boundary function is bi-Lipschitz and the Hilbert transformation of its derivative is in L∞ . 

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