Integral properties of multifunctions determined by vector valued functions are presented. Such multifunctions quite often serve as examples and counterexamples. In particular it can be observed that the properties of being integrable in the sense of Bochner, McShane or Birkhoff can be transferred to the generated multifunction while Henstock integrability does not guarantee it.

Multifunctions determined by integrable functions

Domenico Candeloro
Membro del Collaboration Group
;
Kazimierz Musial
Membro del Collaboration Group
;
Anna Rita Sambucini
Membro del Collaboration Group
2019

Abstract

Integral properties of multifunctions determined by vector valued functions are presented. Such multifunctions quite often serve as examples and counterexamples. In particular it can be observed that the properties of being integrable in the sense of Bochner, McShane or Birkhoff can be transferred to the generated multifunction while Henstock integrability does not guarantee it.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11391/1450400
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