Prime ends on the Riemann surfaces

Authors

  • V.I. Ryazanov Institute of Applied Mathematics and Mechanics of the NAS of Ukraine, Slovyansk
  • S.V. Volkov Institute of Applied Mathematics and Mechanics of the NAS of Ukraine, Slovyansk

DOI:

https://doi.org/10.15407/dopovidi2017.09.020

Keywords:

boundary behavior, homeomorphic extension, mappings of finite distortion, prime Carathéodory ends, Riemann surfaces, Sobolev mappings

Abstract

We prove criteria for the homeomorphic extension of mappings with finite distortion between the domains on Riemann surfaces to the boundary by prime Carathéodory ends.

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References

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Ryazanov, V. & Volkov, S. Prime ends in the Sobolev mapping theory on Riemann surfaces. Mat. Studii (to appear).

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Published

17.09.2024

How to Cite

Ryazanov, V., & Volkov, S. (2024). Prime ends on the Riemann surfaces . Reports of the National Academy of Sciences of Ukraine, (9), 20–25. https://doi.org/10.15407/dopovidi2017.09.020

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