Real Analysis Exchange

Descriptive Characterizations of Pettis and Strongly McShane Integrals

Sokol B. Kaliaj

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Abstract

Using different types of absolute continuity, we characterize additive interval functions which are the primitives of Pettis or strongly McShane integrable functions.

Article information

Source
Real Anal. Exchange, Volume 39, Number 1 (2013), 227-238.

Dates
First available in Project Euclid: 1 July 2014

Permanent link to this document
https://projecteuclid.org/euclid.rae/1404230149

Mathematical Reviews number (MathSciNet)
MR3261908

Zentralblatt MATH identifier
1298.28025

Subjects
Primary: 28B05: Vector-valued set functions, measures and integrals [See also 46G10] 58C20: Differentiation theory (Gateaux, Fréchet, etc.) [See also 26Exx, 46G05]
Secondary: 46G10: Vector-valued measures and integration [See also 28Bxx, 46B22] 46G05: Derivatives [See also 46T20, 58C20, 58C25]

Keywords
Pettis integral strongly McShane integral absolute continuity

Citation

Kaliaj, Sokol B. Descriptive Characterizations of Pettis and Strongly McShane Integrals. Real Anal. Exchange 39 (2013), no. 1, 227--238. https://projecteuclid.org/euclid.rae/1404230149


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