Open AccessOn logarithmic Hölder continuity of mappings on the boundary
Author(s) -
Evgeny Sevost’yanov
Publication year - 2022
Publication title -
annales fennici mathematici
Language(s) - English
Resource type - Journals
eISSN - 2737-114X
pISSN - 2737-0690
DOI - 10.54330/afm.113348
Subject(s) - logarithm , mathematics , inverse , boundary (topology) , hölder condition , inequality , pure mathematics , mathematical analysis , geometry
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.