A Riesz Representation Theorem for the Space of Henstock Integrable Vector-Valued Functions
Joint Authors
Escamilla Reyna, Juan Alberto
Oliveros-Oliveros, J. J.
Pérez-Becerra, T.
Rodríguez Tzompantzi, Daniela
Aye, Khaing Khaing
Source
Issue
Vol. 2018, Issue 2018 (31 Dec. 2018), pp.1-9, 9 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2018-05-17
Country of Publication
Egypt
No. of Pages
9
Main Subjects
Abstract EN
Using a bounded bilinear operator, we define the Henstock-Stieltjes integral for vector-valued functions; we prove some integration by parts theorems for Henstock integral and a Riesz-type theorem which provides an alternative proof of the representation theorem for real functions proved by Alexiewicz.
American Psychological Association (APA)
Pérez-Becerra, T.& Escamilla Reyna, Juan Alberto& Rodríguez Tzompantzi, Daniela& Oliveros-Oliveros, J. J.& Aye, Khaing Khaing. 2018. A Riesz Representation Theorem for the Space of Henstock Integrable Vector-Valued Functions. Journal of Function Spaces،Vol. 2018, no. 2018, pp.1-9.
https://search.emarefa.net/detail/BIM-1186603
Modern Language Association (MLA)
Pérez-Becerra, T.…[et al.]. A Riesz Representation Theorem for the Space of Henstock Integrable Vector-Valued Functions. Journal of Function Spaces No. 2018 (2018), pp.1-9.
https://search.emarefa.net/detail/BIM-1186603
American Medical Association (AMA)
Pérez-Becerra, T.& Escamilla Reyna, Juan Alberto& Rodríguez Tzompantzi, Daniela& Oliveros-Oliveros, J. J.& Aye, Khaing Khaing. A Riesz Representation Theorem for the Space of Henstock Integrable Vector-Valued Functions. Journal of Function Spaces. 2018. Vol. 2018, no. 2018, pp.1-9.
https://search.emarefa.net/detail/BIM-1186603
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1186603
