The Hake-McShane and Hake-Henstock-Kurzweil integrals over m-dimensional\n unbounded sets

2018/09/20 by Sokol Bush Kaliaj, Kaliaj, Sokol Bush
Computer Science · Mathematics · #46B25 #Advanced Banach Space Theory #FOS: Mathematics #Functional Analysis (math.FA) #Optimization and Variational Analysis #Primary 28B05 #Secondary 46G10

paper · pdf · doi:10.48550/arxiv.1809.08119

openalex publication_date 2018/09/20 · openalex created_date 2022/08/03 · openalex updated_date 2026/07/28

Abstract

In this paper, we extend the Hake-McShane and Hake-Henstock-Kurzweil\nintegrals of Banach space valued functions from m-dimensional open and bounded\nsets to m-dimensional sets G such that |G Go| = 0. We will prove the full\ndescriptive characterizations of new integrals in terms of the locally McShane\nand locally Henstock-Kurzweil integrals.\n

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