Siberian Mathematical Journal

, Volume 44, Issue 6, pp 959–968

Linear Bilipschitz Extension Property

  • P. Alestalo
  • D. A. Trotsenko
  • J. Vaisala
Article

DOI: 10.1023/B:SIMJ.0000007471.47551.5d

Cite this article as:
Alestalo, P., Trotsenko, D.A. & Vaisala, J. Siberian Mathematical Journal (2003) 44: 959. doi:10.1023/B:SIMJ.0000007471.47551.5d

Abstract

We give a sufficient geometric condition for a subset A of Rn to enjoy the following property for a fixed C≥1: There is δ>0 such that for 0≤ε≤δ, each (1+ε)-bilipschitz map f: ARn extends to a (1+Cε)-bilipschitz map F: RnRn.

bilipschitz mappingquasi-isometryapproximationextension of mappingssubsets of Euclidean space

Copyright information

© Plenum Publishing Corporation 2003

Authors and Affiliations

  • P. Alestalo
    • 1
  • D. A. Trotsenko
    • 2
  • J. Vaisala
    • 3
  1. 1.Technical University of HelsinkiFinland
  2. 2.Sobolev Institute of MathematicsNovosibirsk
  3. 3.University of HelsinkiFinland