It is established that a ring QQ-homeomorphism with respect to pp-modulus in RnRn, n⩾2,n⩾2, 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(x0,ϵ) is finite everywhere.
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