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On the theory of generalized quasiconformal mappings

Complex Variables 2023-06-06 v1

Abstract

We study generalized quasiconformal mappings in the context of the inverse Poletsky inequality. We consider the local behavior and the boundary behavior of mappings with the inverse Poletsky inequality. In particular, we obtain logarithmic H\"{o}lder continuity for such classes of mappings.

Keywords

Cite

@article{arxiv.2306.02713,
  title  = {On the theory of generalized quasiconformal mappings},
  author = {Vladimir Gol'dshtein and Evgeny Sevost'yanov and Alexander Ukhlov},
  journal= {arXiv preprint arXiv:2306.02713},
  year   = {2023}
}

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19 pages