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

Autores: Lee Tuo-Yeong
Localización: Proceedings of the London Mathematical Society, ISSN 0024-6115, Vol. 87, Nº 3, 2003, págs. 677-700
Idioma: inglés
DOI: 10.1112/s0024611503014163
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Resumen
- 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.