Abstract
Suppose f:ℝn→ℝn is a mapping of K-bounded p-mean distortion for some p>n−1. We prove the equivalence of the following properties of f: the doubling condition for J(x,f) over big balls centered at the origin, the boundedness of the multiplicity function N(f,ℝn), the polynomial type of f, and the polynomial growth condition for f.
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