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Mathematics of the USSR-Izvestiya, 1973, Volume 7, Issue 6, Pages 1423–1432
DOI: https://doi.org/10.1070/IM1973v007n06ABEH002091 (Mi im2366) 		 
On the uniqueness of hypermeasures in Euclidean spaces

V. A. Zhil'tsov
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DOI: https://doi.org/10.1070/IM1973v007n06ABEH002091
Abstract: 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.
Received: 19.03.1973
Russian version:
Izvestiya Akademii Nauk SSSR. Seriya Matematicheskaya, 1973, Volume 37, Issue 6, Pages 1428–1436
Bibliographic databases:
UDC: 519.5
MSC: Primary 28A10; Secondary 28A05, 28A75
Language: English
Original paper language: Russian
Citation: V. A. Zhil'tsov, “On the uniqueness of hypermeasures in Euclidean spaces”, Izv. Akad. Nauk SSSR Ser. Mat., 37:6 (1973), 1428–1436; Math. USSR-Izv., 7:6 (1973), 1423–1432
Citation in format AMSBIB
\Bibitem{Zhi73}
\by V.~A.~Zhil'tsov
\paper On the uniqueness of hypermeasures in Euclidean spaces
\jour Izv. Akad. Nauk SSSR Ser. Mat.
\yr 1973
\vol 37
\issue 6
\pages 1428--1436
\mathnet{http://mi.mathnet.ru/im2366}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=344423}
\zmath{https://zbmath.org/?q=an:0283.28013}
\transl
\jour Math. USSR-Izv.
\yr 1973
\vol 7
\issue 6
\pages 1423--1432
\crossref{https://doi.org/10.1070/IM1973v007n06ABEH002091}
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    		Известия Академии наук СССР. Серия математическая Izvestiya: Mathematics
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    Russian version PDF:92
    English version PDF:5
    References:44
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