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

Autor:	Daniela Rodríguez Tzompantzi, Khaing Khaing Aye, Juan Alberto Escamilla Reyna, J. Oliveros, Tomás Pérez Becerra
Rok vydání:	2018
Předmět:	Pure mathematics Bilinear operator Article Subject Representation theorem Integrable system Riesz representation theorem lcsh:Mathematics 010102 general mathematics Mathematics::Classical Analysis and ODEs lcsh:QA1-939 Space (mathematics) 01 natural sciences 010101 applied mathematics Bounded function Integration by parts 0101 mathematics Vector-valued function Analysis Mathematics
Zdroj:	Journal of Function Spaces, Vol 2018 (2018)
ISSN:	2314-8888 2314-8896
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:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_dedup___::4e9df798c03167675231551c22f88585 https://doi.org/10.1155/2018/8169565 Zobrazit plný text záznamu Plný text ve formátu PDF Plný text ve formátu HTML
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