Absolute continuity in higher dimensions
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Publication:6195416
DOI10.1007/978-3-031-39270-2_1MaRDI QIDQ6195416
Elena S. Afanas'eva, Anatoly Golberg
Publication date: 13 March 2024
Published in: Function Spaces, Theory and Applications (Search for Journal in Brave)
bounded variationabsolute continuitySobolev classesfinite metric distortionfinite area distortionfinitely Lipschitz mappingsLusin's \((N)\)-property
Quasiconformal mappings in (mathbb{R}^n), other generalizations (30C65) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Absolutely continuous real functions of several variables, functions of bounded variation (26B30)
Cites Work
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- Lectures on mappings of finite distortion
- Differentiability in the Sobolev space \(W^{1,n-1}\)
- The regularity of the inverses of Sobolev homeomorphisms with finite distortion
- Singularities of discrete open mappings with controlled \(p\)-module
- On the theory of mappings with finite area distortion
- Bi-Sobolev mappings and elliptic equations in the plane
- On the problem of regularity in the Sobolev space \(W_{loc}^{1,n}\)
- Conformal geometry and quasiregular mappings
- Quasiconformal maps in metric spaces with controlled geometry
- Absolutely continuous functions of several variables
- Non-differentiability and Hölder properties of self-affine functions
- On interval based generalizations of absolute continuity for functions on \(\mathbb{R}^{n}\)
- Absolute continuity on paths of spatial open discrete mappings
- Absolutely continuous functions in \(\mathbb R^n\)
- Absolutely continuous functions of Rado, Reichelderfer, and Malý
- A regularity condition in Sobolev spaces \(W_{\operatorname{loc}}^{1,p}(\mathbb{R}^n)\) with \(1\leq p<n\).
- The N\(^{-1}\)-property of maps and Luzin's condition (N)
- Luzin's condition (N) and Sobolev mappings
- Topological mappings of finite area distortion
- Finitely bi-Lipschitz homeomorphisms between Finsler manifolds
- To the theory of mappings of the Sobolev class with the critical index
- Absolute continuity of quasiconformal mappings on curves
- The Cantor function
- On the Hencl's notion of absolute continuity
- Lectures on \(n\)-dimensional quasiconformal mappings
- Sulle trasformazioni continue
- On Lipschitz continuity of quasiconformal mappings in space
- Continuous Nowhere Differentiable Functions
- Moduli in Modern Mapping Theory
- Homeomorphisms in the Sobolev space W 1,n–1
- Module inequalities for quasiregular mappings
- On the notions of absolute continuity for functions of several variables
- Differentiability versus continuity: Restriction and extension theorems and monstrous examples
- Homeomorphisms of Finite Inner Distortion: Composition Operators on Zygmund-Sobolev and Lorentz-Sobolev Spaces
- On the inverse absolute continuity of quasiconformal mappings on hypersurfaces
- Absolute Continuity and the Banach–Zaretsky Theorem
- An Introduction to the Theory of Higher-Dimensional Quasiconformal Mappings
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