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Zapiski Nauchnykh Seminarov POMI, 1994, Volume 217, Pages 54–58 (Mi znsl5959)  
This article is cited in 4 scientific papers (total in 4 papers)

Singular parts of pluriharmonic measures

E. S. Dubtsov

Saint Petersburg State University
Full-text PDF (251 kB) Citations (4)
Abstract: A measure $\mu$ defined on the complex sphere $S$ is called pluriharmonic if its Poisson integral is a pluriharmonic function (in the unit ball of $\mathbb C^n$). А probability measure $\rho$ is called representing if $\int_Sf\,d\rho=f(0)$ for all $f$ in the ball algebra. It is shown that singular parts of pluriharmonic measures and representing measures are mutually singular. Bibliography: 5 titles.
Received: 07.02.1994
English version:
Journal of Mathematical Sciences (New York), 1997, Volume 85, Issue 2, Pages 1790–1793
DOI: https://doi.org/10.1007/BF02355288
Bibliographic databases:
Document Type: Article
UDC: 517.55
Language: Russian
Citation: E. S. Dubtsov, “Singular parts of pluriharmonic measures”, Investigations on linear operators and function theory. Part 22, Zap. Nauchn. Sem. POMI, 217, POMI, St. Petersburg, 1994, 54–58; J. Math. Sci. (New York), 85:2 (1997), 1790–1793
Citation in format AMSBIB
\Bibitem{Dub94}
\by E.~S.~Dubtsov
\paper Singular parts of pluriharmonic measures
\inbook Investigations on linear operators and function theory. Part~22
\serial Zap. Nauchn. Sem. POMI
\yr 1994
\vol 217
\pages 54--58
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl5959}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1327514}
\zmath{https://zbmath.org/?q=an:0869.31009|0907.31007}
\transl
\jour J. Math. Sci. (New York)
\yr 1997
\vol 85
\issue 2
\pages 1790--1793
\crossref{https://doi.org/10.1007/BF02355288}
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    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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