We establish sufficient conditions for a ring Q-homeomorphisms in \( {{\mathbb{R}}^n} \), n ≥ 2, with respect to a p-module with n − 1 < p < n to have the finite Lipschitz property. We also construct an example of the ring Q-homeomorphism with respect to a p-module at a fixed point which does not have the finite Lipschitz property.
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Translated from Ukrains’kyi Matematychnyi Zhurnal, Vol. 65, No. 5, pp. 728–733, May, 2013.
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Salimov, R.R. One Property of Ring Q-Homeomorphisms With Respect to a p-Module. Ukr Math J 65, 806–813 (2013). https://doi.org/10.1007/s11253-013-0818-2
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DOI: https://doi.org/10.1007/s11253-013-0818-2