On the theory of generalized quasiconformal mappings

Vladimir Gol’dshtein, Evgeny Sevost’yanov, Alexander Ukhlov

Research output: Contribution to journalArticlepeer-review


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 Hölder continuity for such classes of mappings.

Original languageAmerican English
Article number2
JournalComplex Analysis and its Synergies
Issue number1
StatePublished - 1 Mar 2024


  • Quasiconformal mappings
  • Sobolev spaces

All Science Journal Classification (ASJC) codes

  • Analysis
  • Mathematics (miscellaneous)
  • Numerical Analysis


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