# Fubini Type Theorems for the strong McShane and strong Henstock-Kurzweil integrals

## TL;DR

This paper establishes Fubini type theorems for strong McShane and Henstock-Kurzweil integrals of Banach space-valued functions on two-dimensional intervals, extending integral theory in Banach spaces.

## Contribution

It proves Fubini theorems for these integrals, which was previously unexplored for Banach space-valued functions in this context.

## Key findings

- Fubini theorems for strong McShane integrals
- Fubini theorems for strong Henstock-Kurzweil integrals
- Extension of integral theory to Banach space-valued functions

## Abstract

In this paper, we will prove Fubini type theorems for the strong McShane and strong Henstock-Kurzweil integrals of Banach spaces valued functions defined on a closed non-degenerate interval $[a,b] =[a_{1}, b_{1}] \times [a_{2}, b_{2}] \subset \mathbb{R}^{2}$.