We consider the so-called ring Q-map**s, which are natural generalizations of quasiregular map**s in a sense of Väisälä’s geometric definition of moduli. It is shown that, under the condition of nondegeneracy of these map**s, 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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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 map**s more general than quasiregular map**s. 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