The continuous primitive integral in the plane

E Talvila - 2020 - projecteuclid.org
An integral is defined on the plane that includes the Henstock-Kurzweil and Lebesgue
integrals (with respect to Lebesgue measure). A space of primitives is taken as the set of …

Topological properties of the space of integrable Henstock-Kurzweil vector distributions.

H Escamilla-Rocha, L Alanís-López… - 2023 - researchsquare.com
In this work, we prove that the space of integrable Henstock-Kurzweil vector distributions
denoted as D HK ([a, b], X) has a complemented copy of c 0. We show conditions for D HK …