Journal
Title | Convergence theorems in the sense of Vitali and Lusin for the Ito-Henstock integral Posted by Mhelmar Labendia |
Authors | Labendia, Mhelmar; Arcede, Jayrold |
Publication date | 2021 |
Journal | Proceedings of the Singapore National Academy of Science |
Volume | 15 |
Issue | 1 |
Pages | 23-34 |
Publisher | World Scientific |
Abstract | In this paper, we formulate a version of convergence theorem using double Lusin condition and a version of Vitali convergence theorem for the Ito-Henstock integral of an operator-valued stochastic process with respect to a Q-Wiener process. |
Index terms / Keywords | Ito-Henstock integrable; Vitali convergence theorem; double Lusin condition; Q-Wiener process. |
DOI | https://doi.org/10.1142/S2591722621400044 |
URL | https://www.worldscientific.com/doi/10.1142/S2591722621400044 |