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Sulla derivabilità delle funzioni arbitrarie d’insieme

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LetF be a real-valued function defined on a familyF of measurable subsets ofR n. The purpose of this paper is to give necessary and sufficient conditions for the existence almost everywhere of aF-strong, or aF-ordinary, or aF-regular derivative ofF. Main results are theorems 7.2, 7.3, 8.3 and corollaries 8.2, 9.3.

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Authors and Affiliations

  1. Palermo

    Benedetto Bongiorno

Authors
  1. Benedetto Bongiorno
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Additional information

Lavoro eseguito con contributo del C. N. R. nell’ambito del Gruppo Nazionale per l’Analisi Funzionale e le sue Applicazioni; (presentato da B. Pettineo).

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Bongiorno, B. Sulla derivabilità delle funzioni arbitrarie d’insieme. Rend. Circ. Mat. Palermo 21, 71–84 (1972). https://doi.org/10.1007/BF02844233

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