On the Hencl's notion of absolute continuity

DOI10.1016/j.jmaa.2008.03.059zbMath1157.26007OpenAlexW1979001547MaRDI QIDQ2518751

Donatella Bongiorno

Publication date: 16 January 2009

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

Full work available at URL: https://doi.org/10.1016/j.jmaa.2008.03.059

zbMATH Keywords

Sobolev spaceabsolute continuity

Mathematics Subject Classification ID

Inequalities for sums, series and integrals (26D15) Absolutely continuous real functions of several variables, functions of bounded variation (26B30)

Related Items (3)

Refined inequalities of perturbed Ostrowski type for higher-order absolutely continuous functions and applications ⋮ Absolute continuity in higher dimensions ⋮ Regular subclasses in the Sobolev space \(W_{\text{loc}}^{1,n}\)

Cites Work

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• Editor's note: the differentiability of functions in \({\mathbb{R}}^ n\)
• Absolutely continuous functions of several variables
• Absolutely continuous functions of several variables and diffeomorphisms
• Absolutely continuous functions of several variables and quasiconformal mappings
• Absolutely continuous functions in \(\mathbb R^n\)
• Notes on absolutely continuous functions of several variables
• On functions with derivatives in a Lorentz space
• Absolutely continuous functions of Rado, Reichelderfer, and Malý
• On the notions of absolute continuity for functions of several variables

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