Mappings with finite length distortion

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Equicontinuous classes of ring Q-homeomorphisms (2007, background): “Q-homeomorphisms and, consequently, ring Q-homeomorphisms with Q(x )= KI (x, f ) where KI (x, f ) is the inner dilation of f at x ∈ D (see [ 5, Theorem 6.10 ]).”
On the theory of mappings with finite area distortion (2008, background): “and has (N)i and (Ni1)iproperties, see Corollary 3.4 in [ MRSY2 ].”
On boundary behavior of generalized quasi-isometries (2010, background): “Given domains D and D in R, n > 2, following for [31] we say that a homeomorphism f : D → D is of finite metric distortion, f ∈ FMD, if f has (N)-property and 0 < l(x, f) 6 L(x, f) < ∞ a.”
The Poletskii and Väisälä inequalities for the mappings with (p, q)-distortion (2014, background): “Its analogue was also proved in [10,11] for the case q1⁄4 n.”
On the Property (2016, background): “Therefore, by (5), f has no approximate derivative at any point from ⋃∞ n=1 F n .”