Absolutely continuous functions of several variables and quasiconformal mappings

DOI10.4171/ZAA/1172zbMath1065.26017OpenAlexW2022485784MaRDI QIDQ1432738

Stanislav Hencl

Publication date: 15 June 2004

Published in: Zeitschrift für Analysis und ihre Anwendungen (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4171/zaa/1172

zbMATH Keywords

quasiconformal mapsfunctions of bounded variationabsolute continuity

Mathematics Subject Classification ID

Quasiconformal mappings in (mathbb{R}^n), other generalizations (30C65) Absolutely continuous real functions of several variables, functions of bounded variation (26B30)

Related Items (7)

Quasiconformal mappings and sharp estimates for the distance to \(L^\infty\) in some function spaces ⋮ Composition of \(q\)-quasiconformal mappings and functions in Orlicz-Sobolev spaces ⋮ Absolutely continuous functions of several variables and diffeomorphisms ⋮ Composition operators on \(W^1X\) are necessarily induced by quasiconformal mappings ⋮ On the Hencl's notion of absolute continuity ⋮ Regular subclasses in the Sobolev space \(W_{\text{loc}}^{1,n}\) ⋮ On the problem of regularity in the Sobolev space \(W_{loc}^{1,n}\)

Cites Work

• Absolutely continuous functions of several variables
• Absolutely continuous functions of several variables and diffeomorphisms
• Absolutely continuous functions of Rado, Reichelderfer, and Malý
• Homeomorphisms that induce monomorphisms of Sobolev spaces
• On the notions of absolute continuity for functions of several variables

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