On logarithmic Hölder continuity of mappings on the boundary

Authors

  • Evgeny Sevost'yanov Zhytomyr Ivan Franko State University and Institute of Applied Mathematics and Mechanics of NAS of Ukraine
DOI: https://doi.org/10.54330/afm.113348

Keywords:

Mappings with a finite and bounded distortion, Hölder continuous mappings, boundary behavior

Abstract

We study mappings satisfying the so-called inverse Poletsky inequality. Under integrability of the corresponding majorant, it is proved that these mappings are logarithmic Hölder continuous in the neighborhood of the boundary points. In particular, the indicated properties hold for homeomorphisms whose inverse satisfy the weighted Poletsky inequality.
Issue
Vol. 47 No. 1 (2022)
Section
Articles

Published

2022-01-04

How to Cite

Sevost’yanov, E. (2022). On logarithmic Hölder continuity of mappings on the boundary. Annales Fennici Mathematici, 47(1), 251–259. https://doi.org/10.54330/afm.113348

Copyright (c) 2021 Annales Fennici Mathematici

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