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Mathematics of the USSR-Sbornik, 1991, Volume 69, Issue 1, Pages 179–195
DOI: https://doi.org/10.1070/SM1991v069n01ABEH001935 (Mi sm1149) 		 
This article is cited in 5 scientific papers (total in 5 papers)

Smoothness of subharmonic functions

A. S. Sadullaeva, R. Madrakhimovb

a V. I. Lenin Tashkent State University
b Tashkent State Pedagogical Institute
English version PDF (760 kB) Citations (5) Russian version article
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DOI: https://doi.org/10.1070/SM1991v069n01ABEH001935
Abstract: The smoothness of functions subharmonic in a domain $D\subset\mathbf R^n$, $n\geqslant 2$, is studied. The method for studying smoothness is based on the Riesz theorem on representation of a subharmonic function as the sum of a harmonic function and the potential $U^\mu(x)$ with respect to some Borel measure $\mu$.
Received: 03.01.1989
Bibliographic databases:
UDC: 517.5
MSC: 31B05
Language: English
Original paper language: Russian
Citation: A. S. Sadullaev, R. Madrakhimov, “Smoothness of subharmonic functions”, Math. USSR-Sb., 69:1 (1991), 179–195
Citation in format AMSBIB
\Bibitem{SadMad90}
\by A.~S.~Sadullaev, R.~Madrakhimov
\paper Smoothness of subharmonic functions
\jour Math. USSR-Sb.
\yr 1991
\vol 69
\issue 1
\pages 179--195
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\crossref{https://doi.org/10.1070/SM1991v069n01ABEH001935}
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\zmath{https://zbmath.org/?q=an:0697.31001|0718.31003}
\adsnasa{https://adsabs.harvard.edu/cgi-bin/bib_query?1991SbMat..69..179S}
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  • https://www.mathnet.ru/eng/sm/v181/i2/p167
    • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Математический сборник - 1989–1990 Sbornik: Mathematics
     
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