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Zapiski Nauchnykh Seminarov POMI, 2000, Volume 270, Pages 309–316 (Mi znsl1339)  
This article is cited in 1 scientific paper (total in 1 paper)

Asymptotical properties of harmonic and $M$-harmonic functions near the boundary of the unit sphere

M. M. Roginskaya

Department of Mathematical Sciences, Chalmers University of Technology and the University of Göteborg
Full-text PDF (177 kB) Citations (1)
Abstract: On the boundary of the complex $n$-ball, there are two a natural notions of Hausdorff dimension, namely, those related to the Euclidean and the Koranyi metric. It is shown that “Riesz decompositions” relative to these two dimension scales are linked rigidly for the measures that are boundary values of pluriharmonic functions in the ball.
Received: 03.05.2000
English version:
Journal of Mathematical Sciences (New York), 2003, Volume 115, Issue 2, Pages 2262–2266
DOI: https://doi.org/10.1023/A:1022801324298
Bibliographic databases:
UDC: 517.5
Language: Russian
Citation: M. M. Roginskaya, “Asymptotical properties of harmonic and $M$-harmonic functions near the boundary of the unit sphere”, Investigations on linear operators and function theory. Part 28, Zap. Nauchn. Sem. POMI, 270, POMI, St. Petersburg, 2000, 309–316; J. Math. Sci. (N. Y.), 115:2 (2003), 2262–2266
Citation in format AMSBIB
\Bibitem{Rog00}
\by M.~M.~Roginskaya
\paper Asymptotical properties of harmonic and $M$-harmonic functions near the boundary of the unit sphere
\inbook Investigations on linear operators and function theory. Part~28
\serial Zap. Nauchn. Sem. POMI
\yr 2000
\vol 270
\pages 309--316
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl1339}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1795651}
\zmath{https://zbmath.org/?q=an:1032.31006}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2003
\vol 115
\issue 2
\pages 2262--2266
\crossref{https://doi.org/10.1023/A:1022801324298}
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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