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Sull'estensione dell'integrale debole alla Burkill-Cesari ad una misura

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Abstract

We extend the weak Burkill-Cesari integral of a vector valued set function, with values in a Banach space, to a measure, following an idea developed by Cesari ([4], [5]) in Euclidean spaces.

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Bibliografia

  1. Brandi P., Salvadori A.,Sull'integrale debole alla Burkill-Cesari, Atti Sem. Mat. Fis. Univ. Modena,27 (1978), 14–38.

    MATH  MathSciNet  Google Scholar 

  2. Breckenridge J.C.,Burkill-Cesari integrals of quasi additive interval functions, Pacific J. Mat.,37 (1971), 635–654.

    MATH  MathSciNet  Google Scholar 

  3. Burkill J. C.,Functions of intervals, Proc. London Math. Soc.,2 (1923), 275–310.

    MathSciNet  Google Scholar 

  4. Cesari L.,Quasi additive set functions and the concept of integral over a variety, Trans. Amen. Math. Soc.,102 (1962), 94–113.

    Article  MATH  MathSciNet  Google Scholar 

  5. Cesari L.,Extension problem for quasi additive set functions and Radon-Nikodym derivatives, Trans. Amer. Math. Soc.,102 (1962), 114–146.

    Article  MATH  MathSciNet  Google Scholar 

  6. Dinculeanu N.,Vector measures, Pergamon Press, English Edition, 1967.

  7. Federer H.,Geometric measure theory, Springer-Verlag, Berlin Hidelberg New York, 1969.

    MATH  Google Scholar 

  8. Halmos P. R.,Measure theory, Springer-Verlag, Berlin Hidelberg New York, 1970.

    Google Scholar 

  9. Warner G.,The Burkill-Cesari integral, Duke Math. J.,35 (1968), 61–78.

    Article  MATH  MathSciNet  Google Scholar 

  10. Warner G., The generalizated Weierstrass-type integral ∫f(S,ϕ), Ann. Scuola Norm. Sup. Pisa, (II)22 (1968), 163–191.

    MATH  MathSciNet  Google Scholar 

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Authors and Affiliations

  1. Istituto di Matematica, Via Vanvitelli, 06100, Perugia

    Primo Brandi & Anna Salvadori

Authors
  1. Primo Brandi
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  2. Anna Salvadori
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Additional information

Lavoro eseguito nell'ambito del Gruppo Nazionale per l'Analisi Funzionale e le sue Applicazoni del C.N.R.; (presentato da L. Cesari).

Cogliamo l'occasione per ringraziare i Professori L. Cesari e C. Vinti delle conversazioni avute con Loro sull'argomento.

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Brandi, P., Salvadori, A. Sull'estensione dell'integrale debole alla Burkill-Cesari ad una misura. Rend. Circ. Mat. Palermo 30, 207–234 (1981). https://doi.org/10.1007/BF02844307

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  • DOI: https://doi.org/10.1007/BF02844307

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