A remark on differentiable functions with partial derivatives in \(L^p\)

DOI10.1016/J.JMAA.2004.06.044zbMath1124.26009OpenAlexW2008193366MaRDI QIDQ1766729

Calogero Vetro, Cristina Maria Di Bari

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.2004.06.044

zbMATH Keywords

partitiondifferentiabilityfunctions of several variablesvariationgage

Mathematics Subject Classification ID

Continuity and differentiation questions (26B05) Absolutely continuous real functions of several variables, functions of bounded variation (26B30)

Related Items (3)

A local notion of absolute continuity in \(\mathbb R^n\) ⋮ A remarks on absolutely continuous functions in \(\mathbb R_n\) ⋮ Absolute continuity for Banach space valued mappings

Cites Work

• Unnamed Item
• Sulla differenziabilita delle funzioni a valori in uno spazio reale di Banach riflessivo
• Absolutely continuous functions of several variables
• A regularity condition in Sobolev spaces \(W_{\operatorname{loc}}^{1,p}(\mathbb{R}^n)\) with \(1\leq p<n\).

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