A remark on differentiable functions with partial derivatives in Lp

Calogero Vetro, Cristina Di Bari, Cristina Di Bari, Calogero Vetro

Research output: Contribution to journalArticlepeer-review

3 Citations (Scopus)

Abstract

We consider a definition of p, δ-variation for real functions of several variables which givesinformation on the differentiability almost everywhere and the absolute integrability of its partial derivatives on a measurable set. This definition of p, δ-variation extends the definition of n-variation of Malý and the definition of p-variation of Bongiorno. We conclude with a result of change of variables based on coarea formula.
Original languageEnglish
Pages (from-to)227-234
Number of pages8
JournalJournal of Mathematical Analysis and Applications
Volume299
Publication statusPublished - 2004

All Science Journal Classification (ASJC) codes

  • Analysis
  • Applied Mathematics

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