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math.CV2024
On asymptotics of ring -homeomorphisms with respect to -modulus near the origin
Ruslan Salimov, Bogdan Klishchuk
We consider the class of ring -homeomorphisms with respect to -modulus in with , and obtain lower bounds for limsups of the distance distortions under…
math.GN2024★ 10 cited
On quasisymmetric mappings in semimetric spaces
Evgeniy Petrov, Ruslan Salimov
The class of quasisymmetric mappings on the real axis was first introduced by A. Beurling and L. V. Ahlfors in 1956. In 1980 P. Tukia and J. Väisälä considered these mappings betwe…
math.GN2024
A note on generalized four-point inequality
Evgeniy A. Petrov, Ruslan R. Salimov
In 2017 M. Bessenyei and Z. Páles introduced a definition of a triangle function which generates a concept of a generalized triangle inequality in semimetric spaces. Inspired by th…