A measure-theoretic characterization of the Henstock-Kurzweil integral revisited

Absolute continuity of charges on metric measure spaces

“…Lee has given two different proofs for the other way implication in [11] and [12] but both of them are dependent upon the Euclidean structure of R m . Using this result the Hake's theorem was generalized in [10].…”

Two convergence theorems for Henstock-Kurzweil integrals and their applications to multiple trigonometric series

“…[31]). While this is a classical integral studied by various authors; consult, for instance [4], [5], [7], [10], [12], [14], [15], [16], [17], [20], [21], [22], [25], [31], [32], [33], [34], [35], applications to multiple Fourier series are largely unexplored.…”