Geodesic
Partial measures
Lobachevskii journal of mathematics, Tome 6 (2000), pp. 47-50

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We study $\sigma$-additive set functions defined on a hereditary subclass of a $\sigma$-algebra and taken values in the extended real line. Analogs of the Jordan decomposition theorem and the Radon–Nikodym theorem are obtained.
Keywords: set function, $\sigma$-algebra, Jordan decomposition theorem, Radon–Nikodym theorem. 
@article{LJM_2000_6_a4,
     author = {O. E. Tikhonov},
     title = {Partial measures},
     journal = {Lobachevskii journal of mathematics},
     pages = {47--50},
     publisher = {mathdoc},
     volume = {6},
     year = {2000},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/LJM_2000_6_a4/}
}
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O. E. Tikhonov. Partial measures. Lobachevskii journal of mathematics, Tome 6 (2000), pp. 47-50. http://geodesic.mathdoc.fr/item/LJM_2000_6_a4/