Regular subclasses in the Sobolev space \(W_{\text{loc}}^{1,n}\)

DOI10.1016/j.na.2008.07.030zbMath1172.46018OpenAlexW2056390450MaRDI QIDQ1012091

Donatella Bongiorno

Publication date: 14 April 2009

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2008.07.030

zbMATH Keywords

Sobolev spaceabsolute continuity

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) Banach spaces of continuous, differentiable or analytic functions (46E15)

Cites Work

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• 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 Hencl's notion of absolute continuity
• Weakly Differentiable Functions
• On the notions of absolute continuity for functions of several variables

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