# On lower estimate of distortion of a distance for one class of mappings

## TL;DR

This paper investigates a specific class of finite distortion mappings near the origin and establishes a lower bound on how much they can distort distances.

## Contribution

It provides a new lower estimate for the distortion of distances under a particular class of finite distortion mappings.

## Key findings

- Proved a lower bound on distance distortion near the origin.
- Analyzed behavior of finite distortion mappings in a neighborhood of zero.
- Contributed to understanding the limits of distortion for this class of mappings.

## Abstract

A behavior of one class of mappings with finite distortion at a neighborhood of the origin is investigated. There is proved a lower estimate of distortion of a distance under mappings mentioned above.