Several comments on the Henstock-Kurzweil and McShane integrals of vector-valued functions

DOI10.1007/S10587-011-0050-XzbMath1249.26010OpenAlexW2050453547MaRDI QIDQ2881234

Kirill Naralenkov

Publication date: 3 April 2012

Published in: Czechoslovak Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/196614

zbMATH Keywords

Pettis integralMcShane integralHenstock-Kurzweil integralAlexiewicz norm\(AC_{*}\) function\(AC\) functionand \(AC_{\delta }\) function

Mathematics Subject Classification ID

Vector-valued set functions, measures and integrals (28B05) Denjoy and Perron integrals, other special integrals (26A39)

Related Items (2)

A Lusin type measurability property for vector-valued functions ⋮ On the integration of Riemann-measurable vector-valued functions

Cites Work

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• Integration in Hilbert generated Banach spaces
• On the integration of vector-valued functions
• The Henstock and McShane integrals of vector-valued functions
• The generalized McShane integral
• On Henstock integrability in Euclidean spaces
• On McShane integrability of Banach space-valued functions
• The McShane integral of Banach-valued functions
• Norm convergence and uniform integrability for the Henstock-Kurzweil integral
• On Denjoy type extensions of the Pettis integral
• Banach-valued Henstock-Kurzweil integrable functions are McShane integrable on a portion
• Pettis integral and measure theory

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