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Zapiski Nauchnykh Seminarov POMI, 2017, Volume 456, Pages 144–154 (Mi znsl6428)  
This article is cited in 1 scientific paper (total in 1 paper)

On the existence of angular boundary values for polyharmonic functions in the unit ball

M. Ya. Mazalovab

a National Research University "Moscow Power Engineering Institute" in Smolensk, Smolensk, Russia
b Bauman Moscow State Technical University, Moscow, Russia
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Abstract: We study boundary properties of polyharmonic functions. In particular, a criterion is obtained (in terms of the radial growth of th derivative) for the existence a.e. of angular boundary values for a polyharmonic function bounded in the unit ball.
Key words and phrases: polyharmonic functions, polyanalytic functions, boundary properties, Poisson integral, lacunary series.
Funding agency Grant number
Ministry of Education and Science of the Russian Federation 1.3843.2017/4.6
НШ-9110.2016.1
Russian Foundation for Basic Research 16-01-00674
Received: 25.05.2017
English version:
Journal of Mathematical Sciences (New York), 2018, Volume 234, Issue 3, Pages 362–368
DOI: https://doi.org/10.1007/s10958-018-4013-8
Document Type: Article
UDC: 517.575
Language: Russian
Citation: M. Ya. Mazalov, “On the existence of angular boundary values for polyharmonic functions in the unit ball”, Investigations on linear operators and function theory. Part 45, Zap. Nauchn. Sem. POMI, 456, POMI, St. Petersburg, 2017, 144–154; J. Math. Sci. (N. Y.), 234:3 (2018), 362–368
Citation in format AMSBIB
\Bibitem{Maz17}
\by M.~Ya.~Mazalov
\paper On the existence of angular boundary values for polyharmonic functions in the unit ball
\inbook Investigations on linear operators and function theory. Part~45
\serial Zap. Nauchn. Sem. POMI
\yr 2017
\vol 456
\pages 144--154
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl6428}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2018
\vol 234
\issue 3
\pages 362--368
\crossref{https://doi.org/10.1007/s10958-018-4013-8}
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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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