Absolute continuity for Banach space valued mappings

DOI10.1007/BF03031433zbMath1150.26008MaRDI QIDQ997549

Calogero Vetro, Cristina Maria Di Bari

Publication date: 7 August 2007

Published in: Rendiconti del Circolo Matemàtico di Palermo. Serie II (Search for Journal in Brave)

Mathematics Subject Classification ID

Absolutely continuous real functions of several variables, functions of bounded variation (26B30)

Cites Work

• Absolutely continuous functions of several variables
• A remark on differentiable functions with partial derivatives in \(L^p\)
• A regularity condition in Sobolev spaces \(W_{\operatorname{loc}}^{1,p}(\mathbb{R}^n)\) with \(1\leq p<n\).
• Metric and \(w^*\)-differentiability of pointwise Lipschitz mappings
• Rectifiable Metric Spaces: Local Structure and Regularity of the Hausdorff Measure

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