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JOURNALS // Matematicheskie Zametki // Archive

Mat. Zametki, 1998 Volume 63, Issue 6, Pages 821–834 (Mi mzm1352)

This article is cited 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.

UDC: 517.5

Received: 28.10.1996

DOI: 10.4213/mzm1352


 English version:
Mathematical Notes, 1998, 63:6, 724–735

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© Steklov Math. Inst. of RAS, 2025