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Zapiski Nauchnykh Seminarov POMI, 2018, Volume 467, Pages 7–20 (Mi znsl6560)  

A note on a conjecture by Khabibullin

A. Bërdëllima

Institute for Numerical and Applied Mathematics, Georg-August-Universität Göttingen, 37083 Göttingen, Germany
References:
Abstract: We show that for $n=2$ and $\alpha>1/2$ Khabibullin's conjecture is not true.
Key words and phrases: Khabibullin's conjecture, Khabibullin's theorem, Khabibullin's constants, integral inequalities, upper bound, plurisubharmonic function, sharp estimate.
Received: 31.03.2017
English version:
Journal of Mathematical Sciences (New York), 2019, Volume 243, Issue 6, Pages 825–834
DOI: https://doi.org/10.1007/s10958-019-04580-8
Bibliographic databases:
Document Type: Article
UDC: 517.51+517.57
Language: English
Citation: A. Bërdëllima, “A note on a conjecture by Khabibullin”, Investigations on linear operators and function theory. Part 46, Zap. Nauchn. Sem. POMI, 467, POMI, St. Petersburg, 2018, 7–20; J. Math. Sci. (N. Y.), 243:6 (2019), 825–834
Citation in format AMSBIB
\Bibitem{Bеr18}
\by A.~B\"erd\"ellima
\paper A note on a~conjecture by Khabibullin
\inbook Investigations on linear operators and function theory. Part~46
\serial Zap. Nauchn. Sem. POMI
\yr 2018
\vol 467
\pages 7--20
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl6560}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2019
\vol 243
\issue 6
\pages 825--834
\crossref{https://doi.org/10.1007/s10958-019-04580-8}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85075192079}
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