The Hake-McShane and Hake-Henstock-Kurzweil integrals over m-dimensional unbounded sets
arXiv:1809.08119
Abstract
In this paper, we extend the Hake-McShane and Hake-Henstock-Kurzweil integrals of Banach space valued functions from m-dimensional open and bounded sets to m-dimensional sets G such that |G \ Go| = 0. We will prove the full descriptive characterizations of new integrals in terms of the locally McShane and locally Henstock-Kurzweil integrals.
arXiv admin note: substantial text overlap with arXiv:1809.05939