Ukrainian Mathematical Journal

, Volume 65, Issue 5, pp 806–813 | Cite as

One Property of Ring Q-Homeomorphisms With Respect to a p-Module

  • R. R. Salimov

We establish sufficient conditions for a ring Q-homeomorphisms in \( {{\mathbb{R}}^n} \), n ≥ 2, with respect to a p-module with n − 1 < p < n to have the finite Lipschitz property. We also construct an example of the ring Q-homeomorphism with respect to a p-module at a fixed point which does not have the finite Lipschitz property.


Riemann Surface Integrable Function Lipschitz Mapping Quasiconformal Mapping Borel Function 
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Copyright information

© Springer Science+Business Media New York 2013

Authors and Affiliations

  • R. R. Salimov
    • 1
  1. 1.Institute of Applied Mathematics and Mechanics, Ukrainian National Academy of SciencesDonetskUkraine

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