This work defines the Henstock-Kurzweil-Stieltjes double integral for lp-valued functions on time scales, suggesting unique properties.
We define Henstock-Kurzweil-Stieltjes--double integral for -valued functions on time scales. Furthermore, some of the basic properties of this integral with values ranging in an -space for  are proved and discussed. Our first theorem guarantees the uniqueness of Henstock-Kurzweil-Stieltjes--double integral of an -valued functions. The Henstock-Kurzweil-Stieltjes--double integrals generalizes the Henstock integral for -valued functions in literature.
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Afariogun et al. (2023) studied this question.
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