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A Riesz representation theorem for the space of Henstock integrable vector-valued functions

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Publication:1640321
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DOI10.1155/2018/8169565zbMath1402.46033OpenAlexW2804692195MaRDI QIDQ1640321

Daniela Rodríguez Tzompantzi, Jose Jacobo Oliveros Oliveros, Khaing Khaing Aye, Tomás Pérez Becerra, Juan Alberto Escamilla Reyna

Publication date: 14 June 2018

Published in: Journal of Function Spaces (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2018/8169565


zbMATH Keywords

vector-valued functionHenstock-Stieltjes integral


Mathematics Subject Classification ID

Vector-valued measures and integration (46G10)


Related Items

Henstock-Kurzweil vector distributions



Cites Work

  • Solution tube method for impulsive periodic differential inclusions of first order
  • The Henstock integral for Banach-valued functions
  • A representation theorem for the space of Henstock-Bochner integrable functions
  • Integration by parts for the Denjoy-Bochner integral
  • On functions of bounded semivariation
  • A note on integration by parts for abstract Perron-Stieltjes integrals
  • A New Descriptive Definition of the Ward Integral
  • Linear functionals on Denjoy-integrable functions
  • ON LINEAR FUNCTIONALS IN SPACES OF CONDITIONALLY INTEGRABLE FUNCTIONS
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