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Mappings with Direct and Inverse Poletsky Inequalities [2023]

1
General Definitions and Notation
2
Boundary Behavior of Mappings with Poletsky Inequality
3
Removability of Singularities of Generalized Quasiisometries
4
Normal Families of Generalized Quasiisometries
5
On Boundary Behavior of Mappings with Poletsky Inequality in Terms of Prime Ends
6
Local and Boundary Behavior of Mappings on Riemannian Manifolds
7
Local and Boundary Behavior of Maps in Metric Spaces
8
On Sokhotski-Casorati-Weierstrass Theorem on Metric Spaces
9
On Boundary Extension of Mappings in Metric Spaces in Terms of Prime Ends
10
On the Openness and Discreteness of Mappings with the Inverse Poletsky Inequality
11
Equicontinuity and Isolated Singularities of Mappings with the Inverse Poletsky Inequality
12
Equicontinuity of Families of Mappings with the Inverse Poletsky Inequality in Terms of Prime Ends
13
Logarithmic Hölder Continuous Mappings and Beltrami Equation
14
On Logarithmic Hölder Continuity of Mappings on the Boundary
15
The Poletsky and Väisälä Inequalities for the Mappings with <inline-formula><alternatives><math xmlns="http://www.w3.org/1998/Math/MathML"><mo>(</mo><mi>p</mi><mo>,</mo><mi>q</mi><mo>)</mo></math><tex-math>\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$(p, q)$$\end{document}</tex-math><inline-graphic></inline-graphic></alternatives></inline-formula>-Distortion
16
An Analog of the Väisälä Inequality for Surfaces
17
Modulus Inequalities on Riemannian Surfaces
18
On the Local and Boundary Behavior of Mappings of Factor Spaces
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