On finitely Lipschitz space mappings

Mathematics – Complex Variables

Scientific paper

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Scientific paper

It is established that a ring $Q$-homeomorphism with respect to $p$-modulus
in ${\Bbb R}^n$, $n\geqslant2,$ is finitely Lipschitz if $n-1mean integral value of $Q(x)$ over infinitisimial balls $B(x_0,\epsilon)$ is
finite everywhere.

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