@article{Arredondo2024, 
author = {Juan H. Arredondo and Genaro Montaño and Francisco J. Mendoza},
title = {A new characterization of the dual space of the HK-integrable functions},
year = {2024},
journal = {AIMS Mathematics},
volume = {9},
number = {4},
pages = {8250-8261},
keywords = {Henstock-Kurzweil integral, Banach dual space},
url = {https://www.sciopen.com/article/10.3934/math.2024401},
doi = {10.3934/math.2024401},
abstract = {We construct the Henstock-Kurzweil (HK) integral as an extension of a linear form initially defined on        L          1      , but which is not continuous in this space. This gives us an alternative way to prove existing results. In particular, we give a new characterization of the dual space of Henstock-Kurzweil integrable functions in terms of a quotient space.}
}