Geodesic
On the uniqueness of hypermeasures in Euclidean spaces
Izvestiya. Mathematics , Tome 7 (1973) no. 6, pp. 1423-1432

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In this paper questions of uniqueness of axiomatic measures in Euclidean spaces are studied. The basic result is that an axiomatic measure agrees with Hausdorff measure under certain suppositions about the axiomatic measure and the $\sigma$-field on which it is defined. 
@article{IM2_1973_7_6_a8,
     author = {V. A. Zhil'tsov},
     title = {On the uniqueness of hypermeasures in {Euclidean} spaces},
     journal = {Izvestiya. Mathematics },
     pages = {1423--1432},
     publisher = {mathdoc},
     volume = {7},
     number = {6},
     year = {1973},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/IM2_1973_7_6_a8/}
}
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V. A. Zhil'tsov. On the uniqueness of hypermeasures in Euclidean spaces. Izvestiya. Mathematics , Tome 7 (1973) no. 6, pp. 1423-1432. http://geodesic.mathdoc.fr/item/IM2_1973_7_6_a8/