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Zapiski Nauchnykh Seminarov POMI, 2007, Volume 345, Pages 105–112 (Mi znsl99)  

Radial behavior of positive harmonic Bloch functions

E. Doubtsov

St. Petersburg Department of V. A. Steklov Institute of Mathematics, Russian Academy of Sciences
References:
Abstract: Let $u$ be a strictly positive harmonic Bloch function on the upper half-space ${\mathbb R}_+^{d+1}$. Then the set
$$ \left\{x\in{\mathbb R}^d:\ \limsup_{y\to 0+}|{\log u(x, y)}|<\infty\right\} $$
has the maximal Hausdorff dimension.
Received: 21.03.2007
English version:
Journal of Mathematical Sciences (New York), 2008, Volume 148, Issue 6, Pages 841–845
DOI: https://doi.org/10.1007/s10958-008-0030-3
Bibliographic databases:
UDC: 517.5
Language: Russian
Citation: E. Doubtsov, “Radial behavior of positive harmonic Bloch functions”, Investigations on linear operators and function theory. Part 35, Zap. Nauchn. Sem. POMI, 345, POMI, St. Petersburg, 2007, 105–112; J. Math. Sci. (N. Y.), 148:6 (2008), 841–845
Citation in format AMSBIB
\Bibitem{Dou07}
\by E.~Doubtsov
\paper Radial behavior of positive harmonic Bloch functions
\inbook Investigations on linear operators and function theory. Part~35
\serial Zap. Nauchn. Sem. POMI
\yr 2007
\vol 345
\pages 105--112
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl99}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2432178}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2008
\vol 148
\issue 6
\pages 841--845
\crossref{https://doi.org/10.1007/s10958-008-0030-3}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-38549152778}
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