One Property of Ring Q-Homeomorphisms With Respect to a p-Module

Abstract

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.