A+ CATEGORY SCIENTIFIC UNIT

Squeezing the Sierpinski sponge

Volume 149 / 2002

Tadeusz Iwaniec, Gaven Martin Studia Mathematica 149 (2002), 133-145 MSC: Primary 30C65. DOI: 10.4064/sm149-2-4

Abstract

We give an example relating to the regularity properties of mappings with finite distortion. This example suggests conditions to be imposed on the distortion function in order to avoid “cavitation in measure”.

Authors

  • Tadeusz IwaniecDepartment of Mathematics
    Syracuse University
    Syracuse, NY 13244, U.S.A.
    e-mail
  • Gaven MartinDepartment of Mathematics
    The University of Auckland
    Private Bag 92019
    Auckland, New Zeland
    e-mail

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