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Zapiski Nauchnykh Seminarov POMI, 1994, Volume 217, Pages 54–58
(Mi znsl5959)
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This article is cited in 4 scientific papers (total in 4 papers)
Singular parts of pluriharmonic measures
E. S. Dubtsov Saint Petersburg State University
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
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
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https://www.mathnet.ru/eng/znsl5959 https://www.mathnet.ru/eng/znsl/v217/p54
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Abstract page: | 107 | Full-text PDF : | 38 |
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