On finitely Lipschitz space mappings

preprint2011arXivOpen access

Abstract

It is established that a ring QQ-homeomorphism with respect to pp-modulus in Rn{\Bbb R}^n, n⩾2,n\geqslant2, is finitely Lipschitz if n−1<p<nn-1<p<n and if the mean integral value of Q(x)Q(x) over infinitisimial balls B(x0,ε)B(x_0,ε) is finite everywhere.

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