Kuelbs-Steadman spaces for Banach space-valued measures
Functional Analysis
2020-07-06 v2
Abstract
We introduce Kuelbs-Steadman-type spaces for real-valued functions, with respect to countably additive measures, taking values in Banach spaces. We investigate their main properties and embeddings in -type spaces, considering both the norm associated to norm convergence of the involved integrals and that related to weak convergence of the integrals.
Cite
@article{arxiv.2007.00209,
title = {Kuelbs-Steadman spaces for Banach space-valued measures},
author = {Antonio Boccuto and Bipan Hazarika and Hemanta Kalita},
journal= {arXiv preprint arXiv:2007.00209},
year = {2020}
}
Comments
12 pages