A Riesz Representation Theorem for the Space of Henstock Integrable Vector-Valued Functions

Autor: Tomás Pérez Becerra, Juan Alberto Escamilla Reyna, Daniela Rodríguez Tzompantzi, Jose Jacobo Oliveros Oliveros, Khaing Khaing Aye
Jazyk: angličtina
Rok vydání: 2018
Předmět:
Zdroj: Journal of Function Spaces, Vol 2018 (2018)
Druh dokumentu: article
ISSN: 2314-8896
2314-8888
DOI: 10.1155/2018/8169565
Popis: 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.
Databáze: Directory of Open Access Journals
Nepřihlášeným uživatelům se plný text nezobrazuje