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Matematicheskaya Fizika, Analiz, Geometriya [Mathematical Physics, Analysis, Geometry], 2002, Volume 9, Number 2, Pages 243–248 (Mi jmag286)  
This article is cited in 1 scientific paper (total in 1 paper)

On the Poisson representation of a function harmonic in the upper half-plane

Seçil Gergüna, I. V. Ostrovskiiba

a Department of Mathematics, Bilkent University, 06533 Bilkent, Ankara, Turkey
b Mathematics Division, B. Verkin Institute for Low Temperature Physics and Engineering, National Academy of Sciences of Ukraine, 47 Lenin Ave., Kharkov, 61103, Ukraine
Full-text PDF (184 kB) Citations (1)
Abstract: New conditions of validity of the Poisson representation (in usual and generalized form) for a function harmonic in the upper half-plane are obtained. These conditions differ from known ones by weaker growth restrictions inside the half-plane and stronger restrictions on the behavior in the neighbourhood of the real axis.
Received: 21.11.2001
Bibliographic databases:
Document Type: Article
MSC: 31A05, 31A10
Language: English
Citation: Seçil Gergün, I. V. Ostrovskii, “On the Poisson representation of a function harmonic in the upper half-plane”, Mat. Fiz. Anal. Geom., 9:2 (2002), 243–248
Citation in format AMSBIB
\Bibitem{GerOst02}
\by Se{\c c}il Gerg\"un, I.~V.~Ostrovskii
\paper On the Poisson representation of a function harmonic in the upper half-plane
\jour Mat. Fiz. Anal. Geom.
\yr 2002
\vol 9
\issue 2
\pages 243--248
\mathnet{http://mi.mathnet.ru/jmag286}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1964069}
\zmath{https://zbmath.org/?q=an:1075.31002}
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  • https://www.mathnet.ru/eng/jmag/v9/i2/p243
    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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