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Sulla sommabilità delle derivate di una funzione arbitraria d’insieme

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LetF be a real-valued function defined, on a familyF of measurable subsets ofR n. In an earlier paper [1] we have considered the question of almost everywhere existence of the derivativesF ′f , F ′or , F ′a Here we investigate the problem of summability ofF ′f , F ′or F ′a . Main results are theorems 5.3, 8.3, 9.3 and corollaries 6.3, 7.3, 4.4.

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Bibliografia

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Authors and Affiliations

  1. Palermo

    Benedetto Bongiorno

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  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 sommabilità delle derivate di una funzione arbitraria d’insieme. Rend. Circ. Mat. Palermo 21, 183–193 (1972). https://doi.org/10.1007/BF02844242

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  • DOI: https://doi.org/10.1007/BF02844242

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