Resumen de A Full Descriptive Definition of the Henstock¿Kurzweil Integral in the Euclidean Space

Lee Tuo-Yeong

• Using variational measures, we characterize additive interval functions which are indefinite Henstock¿Kurzweil integrals in the Euclidean space, answering a problem posed by W. B. Jurkat and R. W. Knizia and independently by Lee Peng-Yee and Chew Tuan-Seng. This also extends a result of Bongiorno, Di Piazza and Skvortsov.