Absolutely continuous functions in \(\mathbb R^n\)

DOI10.1016/j.jmaa.2004.08.002zbMath1129.26302OpenAlexW1998733278MaRDI QIDQ1766693

Donatella Bongiorno

Publication date: 8 March 2005

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.2004.08.002

zbMATH Keywords

Sobolev spaces\(\alpha\)-regular intervalsAbsolutely continuous functions

Mathematics Subject Classification ID

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)

Related Items (8)

Refined inequalities of perturbed Ostrowski type for higher-order absolutely continuous functions and applications ⋮ Isomorphisms of AC(σ) spaces ⋮ Absolutely continuous functions with values in a Banach space ⋮ Absolutely continuous mappings on doubling metric measure spaces ⋮ Absolute continuity in higher dimensions ⋮ A remarks on absolutely continuous functions in \(\mathbb R_n\) ⋮ On the Hencl's notion of absolute continuity ⋮ Regular subclasses in the Sobolev space \(W_{\text{loc}}^{1,n}\)

Cites Work

• Absolutely continuous functions of several variables
• Absolutely continuous functions of several variables and diffeomorphisms
• Absolutely continuous functions of Rado, Reichelderfer, and Malý
• On the notions of absolute continuity for functions of several variables

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