Displaying similar documents to “BV-sets, functions and integrals”

The McShane, PU and Henstock integrals of Banach valued functions

Luisa Di Piazza, Valeria Marraffa (2002)

Czechoslovak Mathematical Journal

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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...

Variational measures in the theory of the integration in ℝ m

Luisa Di Piazza (2001)

Czechoslovak Mathematical Journal

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We study properties of variational measures associated with certain conditionally convergent integrals in ℝ m . In particular we give a full descriptive characterization of these integrals.