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This article is cited in 9 scientific papers (total in 9 papers)
On boundary properties of the components of polyharmonic functions
E. P. Dolzhenko M. V. Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
Abstract:
The following two classes of functions are introduced for $p\ge0$: the class $CU^p(G)$ of uniformly continuous functions of order $p$ in a domain $G\subset\mathbb C$, and the class $\mathfrak M^p(G)$ of functions of the boundedness of order $p$ in $G$. Criterions are established for an $n$-analytic function to belong to each of these classes.
Received: 28.10.1996
Citation:
E. P. Dolzhenko, “On boundary properties of the components of polyharmonic functions”, Mat. Zametki, 63:6 (1998), 821–834; Math. Notes, 63:6 (1998), 724–735
Linking options:
https://www.mathnet.ru/eng/mzm1352https://doi.org/10.4213/mzm1352 https://www.mathnet.ru/eng/mzm/v63/i6/p821
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Abstract page: | 449 | Full-text PDF : | 238 | References: | 76 | First page: | 2 |
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