On logarithmic Hölder continuity of mappings on the boundary

Kirjoittajat

  • 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

Avainsanat:

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

Abstrakti

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.
Numero
Vol 47 Nro 1 (2022)
Osasto
Articles

Julkaistu

2022-01-04

Viittaaminen

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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