Radon-Nikodým theorems for finitely additive multimeasures

DOI10.4171/ZAA/1545zbMath1331.28026OpenAlexW2210470424MaRDI QIDQ891797

Luisa Di Piazza, Giovanni Porcello

Publication date: 17 November 2015

Published in: Zeitschrift für Analysis und ihre Anwendungen (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4171/zaa/1545

zbMATH Keywords

Radon-Nikodým theoremmultifunctionselectionHenstock-Kurzweil integralHenstock-Kurzweil-Pettis integral

Mathematics Subject Classification ID

Set-valued set functions and measures; integration of set-valued functions; measurable selections (28B20) Vector-valued measures and integration (46G10) Denjoy and Perron integrals, other special integrals (26A39)

Related Items

Gauge integrals and selections of weakly compact valued multifunctions, Some new results on integration for multifunction, Integral representation of random set-valued measures, Relations among gauge and Pettis integrals for \(cwk(X)\)-valued multifunctions

Cites Work

• Radon-Nikodym theorems for set-valued measures
• Geometric aspects of convex sets with the Radon-Nikodym property
• A variational Henstock integral characterization of the Radon-Nikodým property
• Generalized ordinary differential equations and continuous dependence on a parameter
• Variational Measures in the Theory of the Integration in ℝ m
• Set-Valued Measures
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