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Mathematics of the USSR-Izvestiya, 1968, Volume 2, Issue 4, Pages 725–733
DOI: https://doi.org/10.1070/IM1968v002n04ABEH000660 (Mi im2490) 		 
On the decrease of harmonic functions of three variables in a solid of revolution

I. S. Arshon
English version PDF (343 kB) Russian version article
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DOI: https://doi.org/10.1070/IM1968v002n04ABEH000660
Abstract: In this paper we prove a theorem on the decrease of harmonic functions of three variables in a solid of revolution
$$ x>a, \quad \sqrt{{x_1}^2+{x_2}^2}<\frac12h(x), $$
that is analogous to the theorem on the decrease of analytic functions in a domain.
Received: 04.01.1967
Bibliographic databases:
UDC: 517.5
MSC: 47B34, 44A10, 45E05
Language: English
Original paper language: Russian
Citation: I. S. Arshon, “On the decrease of harmonic functions of three variables in a solid of revolution”, Math. USSR-Izv., 2:4 (1968), 725–733
Citation in format AMSBIB
\Bibitem{Ars68}
\by I.~S.~Arshon
\paper On the decrease of harmonic functions of three variables in a~solid of revolution
\jour Math. USSR-Izv.
\yr 1968
\vol 2
\issue 4
\pages 725--733
\mathnet{http://mi.mathnet.ru//eng/im2490}
\crossref{https://doi.org/10.1070/IM1968v002n04ABEH000660}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=235137}
\zmath{https://zbmath.org/?q=an:0162.43001}
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    		Известия Академии наук СССР. Серия математическая Izvestiya: Mathematics
     
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