Descriptive characterisation of the variational Henstock-Kurzweil-Stieltjes integral and applications
Institution: | Universität Karlsruhe |
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Department: | |
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.