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An equivalent definition of the vector-valued McShane integral by means of partitions of unity

100%

Di Piazza L., Marraffa V.

Studia Mathematica

2002

tom 151

nr 2

175-185

An integral for vector-valued functions on a σ-finite outer regular quasi-Radon measure space is defined by means of partitions of unity and it is shown that it is equivalent to the McShane integral. The multipliers for both the McShane and Pettis integrals are characterized.

Characterizations of Kurzweil-Henstock-Pettis integrable functions

100%

Di Piazza L., Musiał K.

Studia Mathematica

2006

tom 176

nr 2

159-176

We prove that several results of Talagrand proved for the Pettis integral also hold for the Kurzweil-Henstock-Pettis integral. In particular the Kurzweil-Henstock-Pettis integrability can be characterized by cores of the functions and by properties of suitable operators defined by integrands.

Ograniczanie wyników

2 Studia Mathematica

2 Di Piazza L.

1 Marraffa V.

1 Musiał K.

1 2006

1 2002

Wyniki wyszukiwania

An equivalent definition of the vector-valued McShane integral by means of partitions of unity

Characterizations of Kurzweil-Henstock-Pettis integrable functions