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This article is cited in 3 scientific papers (total in 3 papers)
Smoothness of subharmonic functions
A. S. Sadullaeva, R. Madrakhimovb a V. I. Lenin Tashkent State University
b Tashkent State Pedagogical Institute
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
Citation:
A. S. Sadullaev, R. Madrakhimov, “Smoothness of subharmonic functions”, Mat. Sb., 181:2 (1990), 167–182; Math. USSR-Sb., 69:1 (1991), 179–195
Linking options:
https://www.mathnet.ru/eng/sm1149https://doi.org/10.1070/SM1991v069n01ABEH001935 https://www.mathnet.ru/eng/sm/v181/i2/p167
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Abstract page: | 526 | Russian version PDF: | 187 | English version PDF: | 26 | References: | 84 | First page: | 1 |
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