Descriptive characterisation of the variational Henstock-Kurzweil-Stieltjes integral and applications

by Heiko Hoffmann

Institution: Universität Karlsruhe
Year: 2014
Keywords: Henstock-Kurzweil integral, Stieltjes integral
Record ID: 1109558
Full text PDF: http://digbib.ubka.uni-karlsruhe.de/volltexte/documents/3470173


We derive a descriptive characterisation of the vector-valued variational Henstock-Kurzweil-Stieltjes integral extending and improving previous results. We also give several applications of our characterisation, e.g., to the recover of a function from a relative derivative, the characterisation of Banach spaces with the Radon-Nikodým property and to the study of certain normed algebras of differentiable functions on compact plane sets.