Decomposition theorems in measure theory

 Access to full text

 Full (PDF)

1. NEUBRUNN T., Зaмeчaниe oб aбcoлютнoй нeпpepывнocти мep, Russian Mat-fyz. Čas 16 1966, 21-30. (1966) MR0206195
2. NEUBRUNN T., On the equivalence of an exhaustion principle and the axiom of choìce, Fund. Math 60, 1967, 209-211. (1967) MR0232905
3. BERBERIAN D. K., Measure and integration, New York 1960. (1960) 
4. BROOKS S. K., The Lebesgue decomposition theorem for measures, The Amer. Math. Month. 78, N. 6, 1971, 660-662. (1971) MR1536373
5. CAPEK P., Theorèmes de decomposition en theorie de la mesure I, II, Publications du Semin. d'Analyse de Brest, juin 1976. (1976) MR0470169
6. CAPEK P., Théorèmes de décomposition en theorie de la measuгe, R.A.S.P. t 25, 1967, Serie A-537 (1967) 
7. ČERVEŇANSKY J., DRAVECKY J., A note on Hahn decomposition, Acta F.R.N. Univ. Comen.- Mathematica XXV - 1971, 27-29. (1971) Zbl0228.28002
8. FICKER V., Dominated classes and related questions, Acta F.R.N. Univ. Comen.- Mathematica X, 7, 1966, 3-18. (1966) Zbl0143.27301MR0202953
9. FICKER V., An abstract formulation of the Lebesgue decomposition theorem, Aust. Math. Soc. 12, 1971, 101-105. (1971) Zbl0203.35901MR0274692
10. FICKER V., On the equivalence of a countable disjoint class of sets of positive measure and a weakeг condition than total $\sigma$-finiteness of measures, Bull. Austral. Math. Soc. 1 1979, 237-243. (1979) MR0257310
11. FUCHS L., Partially ordered algebraic system, Pergamon Press 1963. (1963) MR0171864
12. HAHN H., ROSENTHAL A., Set functions, The University of New Mexico Pгess 1948. (1948) Zbl0033.05301MR0024504
13. HALMOS P. R., Measure theory, Van Nonstrand-New York 1950. (1950) Zbl0040.16802MR0033869
14. HERER. W., Decomposition of measures with values in a topological group, Bull. de ľAcad Polon. des Sciences Séгie Math. Astron. et Phys. 20, 1972, 203-205. (1972) MR0308357
15. HOFFMANN-JѲRGENSEN J., Vector measures, Math. Scand. 28, 1971, 5-32. (1971) MR0306438
16. KLUVÁNEK I., K тeopии вeктopныцx мep, Mat.-fyz. Čas. 11, 3, 1961. (1961) 
17. LIPECKI Z., A characterization of group-valued measures satisfying the countable chain condition, Coll. Math. 31, 1974, 231-234. (1974) Zbl0271.28009MR0364595
18. LIPECKI Z., Decomposition theorems for Boolean rings, with applications to semigroup-valued measures, Commentationes Mathematicae. XX, 1978, 397-403. (1978) Zbl0372.28015MR0519374
19. MUSIAL K., Absolute continuity of vector measures, Coll. Math. 27, 1973, 319-321. (1973) Zbl0262.46049MR0328020
20. MUSIAL K., Absolute continuity and the range of group valued Vmeasures, Bull. Acad. Polon. Sci. Série Sci., Math., Astг. et Phys. 21, 1973, 105-113. (1973) MR0349948
21. TRAYNOR T., Decomposition of group-valued additive set functions, Ann. Inst. Fourier, Grenoble, 22, 3, 1972, 131-140. (1972) Zbl0228.28004MR0333114
22. YAM TING WOO J., An elementary proof of the Lebesgue decomposition theorem, The Ameг. Math. Monthly 78, 7, 1971, p. 783. (1971) MR0288226
23. DOBRAKOV I., On submeasures I, Disseгtationes Mathemat. CXII, 1974. (1974) Zbl0292.28001MR0367140
24. Mme GODET-THOBIE C., Multimesures et Multimesuгes de Tгansitions, Thèse. Montpellier. 1975. (1975) 

1. Yoshihiro Kubokawa, Coverable standard measures with the chain condition and the Lebesgue decomposition
2. Peter Capek, The atoms of a countable sum of set functions
3. Anna Bruna D'Andrea, Paolo de Lucia, On the Lebesgue decomposition of a function relative to a $p$-ideal of an orthomodular lattice