On logarithmic Hölder continuity of mappings on the boundary

Evgeny Sevost'yanov

doi:10.54330/afm.113348

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

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