On the boundary estimates for the distortions of mappings in domains with Poincaré inequality
DOI:
https://doi.org/10.3842/umzh.v77i1.8647Keywords:
quasiconformal mappings, mappings with finite distortion, distortion estimatesAbstract
UDC 517.5
We study the mappings that distort the modulus of the families of paths according to the Poletsky-inequality type. At the boundary points of a domain, we obtain estimates for the distortion of distances to these mappings provided that their characteristic either has a finite mean oscillation at every point or satisfies the Lehto-type integral conditions, while the mapped domain is Ahlfors regular and satisfies the Poincar\'e inequality. The cases of homeomorphisms and mappings with branching are analyzed, as well as the domains with good boundaries and domains with prime ends.
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Copyright (c) 2025 Євген Олександрович Севостьянов, Марія Баронова, Олександр Довгопятий, Наталія Ількевич
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