Characterization of integrals with respect to arbitrary Radon measures by the boundedness indices

DOI10.1007/S10958-012-0924-YzbMath1268.28001OpenAlexW2054916333MaRDI QIDQ1930230

Alexander V. Mikhalev, Valeriy K. Zakharov, Timofey V. Rodionov

Publication date: 10 January 2013

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-012-0924-y

zbMATH Keywords

integral representationRadon measureLebesgue integrable functionRiesz-Radon problem

Mathematics Subject Classification ID

Integration with respect to measures and other set functions (28A25) Integrals of Riemann, Stieltjes and Lebesgue type (26A42) Radon-Nikodým, Kre?n-Milman and related properties (46B22)

Related Items (1)

Descriptive spaces and proper classes of functions

Cites Work

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• Characterization of general Radon integrals
• A class of uniform functions and its relationship with the class of measurable functions
• Problem of characterization of Radon integrals
• The problem of integral representation for Radon measures on a Hausdorff space
• A theory of Radon measures on locally compact spaces
• Concrete representation of abstract (M)-spaces. (A characterization of the space of continuous functions.)
• The Riesz-Radon-Fréchet problem of characterization of integrals
• The problem of general Radon representation for an arbitrary Hausdorff space
• The problem of general Radon representation for an arbitrary Hausdorff space. II

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