1. The McShane, PU and Henstock integrals of Banach valued functions
- Creator:
- Di Piazza, Luisa and Marraffa, Valeria
- Format:
- bez média and svazek
- Type:
- model:article and TEXT
- Subject:
- Pettis, McShane, PU and Henstock integrals, variational integrals, and multipliers
- Language:
- English
- Description:
- 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.
- Rights:
- http://creativecommons.org/publicdomain/mark/1.0/ and policy:public