We introduce Kuelbs–Steadman-type spaces ( KSp spaces) for real-valued functions, with respect to countably additive measures, taking values in Banach spaces. We investigate the main properties and embeddings of Lq -type spaces into KSp spaces, considering both the norm associated with the norm convergence of the involved integrals and that related to the weak convergence of the integrals.
Kuelbs–Steadman Spaces for Banach Space-Valued Measures
Antonio Boccuto
Supervision
;
2020
Abstract
We introduce Kuelbs–Steadman-type spaces ( KSp spaces) for real-valued functions, with respect to countably additive measures, taking values in Banach spaces. We investigate the main properties and embeddings of Lq -type spaces into KSp spaces, considering both the norm associated with the norm convergence of the involved integrals and that related to the weak convergence of the integrals.File in questo prodotto:
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