A Riesz Representation Theorem for the Space of Henstock Integrable Vector-Valued Functions
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 Alexiewi...
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Main Authors: | Tomás Pérez Becerra, Juan Alberto Escamilla Reyna, Daniela Rodríguez Tzompantzi, Jose Jacobo Oliveros Oliveros, Khaing Khaing Aye |
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Format: | Article |
Language: | English |
Published: |
Wiley
2018-01-01
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Series: | Journal of Function Spaces |
Online Access: | http://dx.doi.org/10.1155/2018/8169565 |
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