Some relationships between the vector valued Henstock and McShane integrals are investigated. An integral for vector valued functions, defined by means of partitions of the unity (the PU-integral) is studied. In particular it is shown that a vector valued function is McShane integrable if and only if it is both Pettis and PU-integrable. Convergence theorems for the Henstock variational and the PU integrals are stated. The families of multipliers for the Henstock and the Henstock variational integrals of vector valued functions are characterized

Di Piazza L., Marraffa V. (2002). The McShane, Pu and Henstock integrals of banach valued functions. CZECHOSLOVAK MATHEMATICAL JOURNAL, 52(3), 609-633 [10.1023/A:1021736031567].

The McShane, Pu and Henstock integrals of banach valued functions

Di Piazza L.;Marraffa V.
2002-01-01

Abstract

Some relationships between the vector valued Henstock and McShane integrals are investigated. An integral for vector valued functions, defined by means of partitions of the unity (the PU-integral) is studied. In particular it is shown that a vector valued function is McShane integrable if and only if it is both Pettis and PU-integrable. Convergence theorems for the Henstock variational and the PU integrals are stated. The families of multipliers for the Henstock and the Henstock variational integrals of vector valued functions are characterized
2002
Settore MAT/05 - Analisi Matematica
Di Piazza L., Marraffa V. (2002). The McShane, Pu and Henstock integrals of banach valued functions. CZECHOSLOVAK MATHEMATICAL JOURNAL, 52(3), 609-633 [10.1023/A:1021736031567].
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10447/370294
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