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Estimation of dilatations for mappings more general than quasiregular mappings

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Ukrainian Mathematical Journal Aims and scope

We consider the so-called ring Q-mappings, which are natural generalizations of quasiregular mappings in a sense of Väisälä’s geometric definition of moduli. It is shown that, under the condition of nondegeneracy of these mappings, their inner dilatation is majorized by a function Q(x) to within a constant depending solely on the dimension of the space.

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Authors and Affiliations

  1. Institute for Applied Mathematics and Mechanics, National Academy of Sciences of Ukraine, Donetsk, Ukraine

    R. R. Salimov & E. A. Sevost’yanov

Authors
  1. R. R. Salimov
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  2. E. A. Sevost’yanov
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Translated from Ukrains’kyi Matematychnyi Zhurnal, Vol. 62, No. 11, pp. 1531–1537, November, 2010.

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Salimov, R.R., Sevost’yanov, E.A. Estimation of dilatations for mappings more general than quasiregular mappings. Ukr Math J 62, 1775–1782 (2011). https://doi.org/10.1007/s11253-011-0467-2

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  • DOI: https://doi.org/10.1007/s11253-011-0467-2

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