English

On asymptotics of ring $Q$-homeomorphisms with respect to $p$-modulus near the origin

Complex Variables 2025-01-06 v1

Abstract

We consider the class of ring QQ-homeomorphisms with respect to pp-modulus in Rn\mathbb{R}^{n} with p>np > n, and obtain lower bounds for limsups of the distance distortions under such mappings. These estimates can be treated as H\"{o}lder's continuity of the inverses near the origin. The sharpness is illustrated by example

Keywords

Cite

@article{arxiv.2501.01459,
  title  = {On asymptotics of ring $Q$-homeomorphisms with respect to $p$-modulus near the origin},
  author = {Ruslan Salimov and Bogdan Klishchuk},
  journal= {arXiv preprint arXiv:2501.01459},
  year   = {2025}
}