Sevost’yanov, Е. А., Salіmov, R. R.
(2011)
On inner dilatations of the mappings with unbounded characteristic.
Journal of Mathematical Sciences (178).
pp. 97-107.
Abstract
For the mappings f : D → D
�
, D, D
� ⊂ Rn, n ≥ 2, satisfying certain geometric conditions
in the fixed domain D, we have proved estimates of the form KI (x, f) ≤ Q(x) almost everywhere, where
KI (x, f) is the inner dilatation of f at a point x, and Q(x) is a fixed real-valued function responsible for
the “control” over a distortion of the families of curves in D at a mapping f.
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