Geodesic
On logarithmic Hölder continuity of mappings on the boundary
Evgeny Sevost'yanov1
1Zhytomyr Ivan Franko State University and Institute of Applied Mathematics and Mechanics of NAS of Ukraine
Annales Fennici Mathematici, Tome 47 (2022) no. 1, pp. 251-259

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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.
DOI : 10.54330/afm.113348
Keywords: Mappings with a finite and bounded distortion, Hölder continuous mappings, boundary behavior

Evgeny Sevost'yanov  1

1 Zhytomyr Ivan Franko State University and Institute of Applied Mathematics and Mechanics of NAS of Ukraine 
Evgeny Sevost'yanov. On logarithmic Hölder continuity of mappings on the boundary. Annales Fennici Mathematici, Tome 47 (2022) no. 1, pp. 251-259. doi: 10.54330/afm.113348
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