Titlebook: Mappings with Direct and Inverse Poletsky Inequalities; Evgeny Sevost‘yanov Book 2023 The Editor(s) (if applicable) and The Author(s), und

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,The Poletsky and V?is?l? Inequalities for the Mappings with ,-Distortion,ppings satisfy one or both Poletsky-type inequalities under “minimal” assumptions on them. Moreover, here we have established an analog of the V?is?l? type inequality, which is even stronger than the Poletsky inequality.

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General Definitions and Notation, related to the .-measured Euclidean space (a ball, a sphere, a path, the Lebesgue and Hausdorff measure, a chordal distance, etc.), and topological properties of mappings (discreteness, openness, closeness, etc.). We describe the conception of the modulus of families of paths and surfaces and the c

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