Absolutely continuous functions of Rado, Reichelderfer, and Malý

DOI10.1006/jmaa.2000.6962zbMath0981.26009OpenAlexW1987106457MaRDI QIDQ1840791

Marianna Csörnyei

Publication date: 24 July 2001

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jmaa.2000.6962

zbMATH Keywords

bounded variationBV functionsarea formulaabsolutely continuous functionsdifferentiability almost everywhere

Mathematics Subject Classification ID

Functions of bounded variation, generalizations (26A45) Absolutely continuous real functions in one variable (26A46)

Related Items (11)

Isomorphisms of AC(σ) spaces ⋮ Absolute continuity in higher dimensions ⋮ Absolutely continuous functions of several variables and diffeomorphisms ⋮ Absolutely continuous functions of several variables and quasiconformal mappings ⋮ Metric and \(w^*\)-differentiability of pointwise Lipschitz mappings ⋮ Absolutely continuous functions in \(\mathbb R^n\) ⋮ On duality in problems of optimal control described by convex differential inclusions of Goursat--Darboux type ⋮ 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 \(W_{loc}^{1,n}\) ⋮ Absolutely continuous functions and differentiability in \({\mathbb R}^n\)

Cites Work

• Absolutely continuous functions of several variables
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