Ukrainian Mathematical Journal

, Volume 61, Issue 10, pp 1568–1577 | Cite as

On extension of some generalizations of quasiconformal mappings to a boundary

  • T. V. Lomako

This work is devoted to the investigation of ring Q-homeomorphisms. We formulate conditions for a function Q(x) and the boundary of a domain under which every ring Q-homeomorphism admits a homeomorphic extension to the boundary. For an arbitrary ring Q-homeomorphism f: DD’ with QL 1(D); we study the problem of the extension of inverse mappings to the boundary. It is proved that an isolated singularity is removable for ring Q-homeomorphisms if Q has finite mean oscillation at a point.


Neighborhood Versus QUASICONFORMAL Mapping Continuous Extension Beltrami Equation Arbitrary Ring 
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Copyright information

© Springer Science+Business Media, Inc. 2009

Authors and Affiliations

  • T. V. Lomako
    • 1
  1. 1.Institute of Applied Mathematics and MechanicsUkrainian National Academy of SciencesDonetskUkraine

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