Sevost’yanov, Е. А., Salіmov, R. R.
(2011)
Estimation of dilatations for mappings more general than quasiregular mappings.
Ukrainian Mathematical Journal, 62 (11).
pp. 1775-1782.
ISSN 0041-5995
Abstract
We consider the so-called ring Q-mappings, which are natural generalizations of quasiregular mappings
in a sense of V¨ais¨al¨a’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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