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A remarks on absolutely continuous functions in \(\mathbb R_n\)

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Publication:997538
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DOI10.1007/BF02874709zbMath1150.26007MaRDI QIDQ997538

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)


zbMATH Keywords

Coarea formulaArea formula\(\alpha\)-regular intervals\(\alpha\), \(\lambda\)-absolutely continuous functions\(n\), \(\lambda\)-absolutely continuous functions


Mathematics Subject Classification ID

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


Related Items (1)

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




Cites Work

  • Unnamed Item
  • Absolutely continuous functions of several variables
  • Absolutely continuous functions in \(\mathbb R^n\)
  • A remark on differentiable functions with partial derivatives in \(L^p\)
  • On the notions of absolute continuity for functions of several variables
  • The co-area formula for Sobolev mappings




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