Henstock-Kurzweil integration on metric spaces revisited

DOI10.14321/realanalexch.47.2.1637330734OpenAlexW4319979014MaRDI QIDQ6100470

Surinder Pal Singh Kainth, Narinder Singh

Publication date: 12 May 2023

Published in: Real Analysis Exchange (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/journals/real-analysis-exchange/volume-47/issue-2/Henstock-Kurzweil-Integration-on-Metric-Spaces-Revisited/10.14321/realanalexch.47.2.1637330734.full

zbMATH Keywords

variational measureHenstock-Kurzweil integralmetric measure spacesVitali covering lemmaCousin's lemma

Mathematics Subject Classification ID

Complete metric spaces (54E50) Integrals of Riemann, Stieltjes and Lebesgue type (26A42) Compact (locally compact) metric spaces (54E45) Denjoy and Perron integrals, other special integrals (26A39) Real functions (26-XX)

Cites Work

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• An integral on a complete metric measure space
• A version of Hake's theorem for Kurzweil-Henstock integral in terms of variational measure
• Variational measure with respect to measurable gauges
• The Hake's theorem on metric measure spaces
• Generalized ordinary differential equations and continuous dependence on a parameter
• Definitions of Riemann Type of the Variational Integrals
• Variational measures and the Kurzweil-Henstock integral
• The Use of Tagged Partitions in Elementary Real Analysis
• Nonabsolute Integral on Measure Spaces
• A Hake-Type Theorem for Integrals with Respect to Abstract Derivation Bases in the Riesz Space Setting

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