Plane sets allowing bilipschitz extensions

• Autores: P. Alestalo, D. A. Trotsenko
• Localización: Mathematica scandinavica, ISSN 0025-5521, Vol. 105, Nº 1, 2009, págs. 134-146
• Idioma: inglés
• DOI: 10.7146/math.scand.a-15110
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• Resumen

  • We give a geometric characterization for a plane set A⊂R2 to have the following linear bilipschitz extension property: For 0≤ε≤δ, every (1+ε)-bilipschitz map f:A→R2 has a (1+Cε)-bilipschitz extension to the whole plane R2.