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Abstrakty
Let ɸ be a given set of real-valued functions on the set T and let ß: ɸ → R given functional with values in the extended real line R = [−∞, ∞]. The objective of the paper is to construct contents or measures μ with good regularity and smoothness properties satisfying the integral inequalities ∫* φ dμ ≤ ß (φ), where ∫* denotes the upper integral.
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Czasopismo
Rocznik
Tom
Strony
283--313
Opis fizyczny
Bibliogr. 8 poz.
Twórcy
autor
- Department of Mathematical Sciences, University of Aarhus, DK-8000, Aarhus C, Denmark
Bibliografia
- [1] G. Bachman and A. Sultan, Representation of linear functionals on spaces of continuous functions. Repletions and general measures extension theory, J. Math. Anal. Appl. 67 (1979), pp. 277-293.
- [2] G. Bachman and A. Sultan, On regular extensions of measures, Pacific J. Math. 86 (1980), pp. 389-395.
- [3] N. Dunford and T. J. Schwartz, Linear Operators, Part 1, Interscience Publishers, Inc., New York-London 1958.
- [4] G. Hansel and J. P. Troallic, Sur les problèmes des marges, Probab. Theory Related Fields 71 (1986), pp. 357-366.
- [5] J. Hoffmann-Jørgensen, Probability with a View Toward Statistics, Chapman and Hall, New York-London 1994.
- [6] J. Hoffmann-Jørgensen, Integral representations, in: Functional Analysis VII (Proceedings of the postgraduate and conference held at the Inter-University center, Dubrovnik 2001), D. Bakkić, P. Pandžić and G. Peskir (Eds.), Various Publ. Ser. No 46, Department of Mathematics, University of Aarhus, Denmark, 2002, pp. 229-445.
- [7] J. Kindler, A Mazur-Orlicz type theorem for submodular set functions, J. Math. Anal. Appl. 120 (1986), pp. 533-546.
- [8] J. Lembcke, Konservative Abbildungen und Fortsetzung reguläre Masse, Z. Wahrscheinlichkeitstheorie verw. Gebiete 15 (1970), pp. 54-94.
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Bibliografia
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