A Riesz Representation Theorem for the Space of Henstock Integrable Vector-Valued Functions. (17th May 2018)

• Record Type: Journal Article
• Authors: Pérez Becerra, Tomás; Escamilla Reyna, Juan Alberto; Rodríguez Tzompantzi, Daniela; Oliveros Oliveros, Jose Jacobo; Aye, Khaing Khaing
• Other Names: Petrusel Adrian Academic Editor.
• Is Part Of: Journal of function spaces. Volume 2018(2018)
• Publication Date: 2018-05-17
• Subjects: Function spaces -- Periodicals; 515.7305
• DOI: 10.1155/2018/8169565
• Languages: English
• ISSNs: 2314-8896

Abstract

Abstract : 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.