The Fundamental Theorem of Calculus for Multidimensional Banach Space-Valued Henstock Vector Integrals

Abstract

In the present paper we give the Fundamental Theorem of Calculus for the variational or Henstock vector integrals $^{K}\!\!\!\int_{\mathbb R} \alpha \, df$ and $^{K}\!\!\!\int_{\mathbb R} d\alpha \, f$ of multidimensional Banach space-valued functions.