0000000000227968

AUTHOR

Giovanni Porcello

showing 4 related works from this author

Multimeasures and integration of multifunctions in Banach spaces

2014

multimeasuresmultifunctionSettore MAT/05 - Analisi Matematica
researchProduct

Decomposability in the space ofHKP-integrable functions

2014

In this paper we introduce the notion of decomposability in the space of Henstock-Kurzweil-Pettis integrable (for short HKP-integrable) functions. We show representations theorems for decomposable sets of HKP-integrable or Henstock integrable functions, in terms of the family of selections of suitable multifunctions.

Discrete mathematicsPure mathematicsHenstock–Kurzweil integralIntegrable systemGeneral MathematicsSpace (mathematics)MathematicsMathematische Nachrichten
researchProduct

Radon–Nikodým Theorems for Finitely Additive Multimeasures

2015

In this paper we deal with interval multimeasures. We show some Radon–Nikodým theorems for such multimeasures using multivalued Henstock or Henstock–Kurzweil–Pettis derivatives. We do not use the separability assumption in the results.

Pure mathematicsHenstock–Kurzweil integralchemistrySettore MAT/05 - Analisi MatematicaApplied MathematicsMathematical analysischemistry.chemical_elementRadonMultifunction Henstock–Kurzweil integral Henstock–Kurzweil–Pettis integral selection Radon–Nikodým theoremAnalysisSelection (genetic algorithm)Mathematics
researchProduct

Decomposability in the space of HKP-integrable functions

2014

In this paper we introduce the notion of decomposability in the space of Henstock-Kurzweil-Pettis integrable (for short HKP-integrable) functions. We show representations theorems for decomposable sets of HKP-integrable or Henstock integrable functions, in terms of the family of selections of suitable multifunctions.

Settore MAT/05 - Analisi MatematicaMultifunction Henstock-Kurzweil integral Henstock-Kurzweil-Pettis integral decomposability
researchProduct