Sevost’yanov, Е. А., Salіmov, R. R.
(2011)
Estimation of dilatations for mappings more general than quasiregular mappings.
Ukrainian Mathematical Journal, 62 (11).
pp. 17751782.
ISSN 00415995
Abstract
We consider the socalled ring Qmappings, 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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