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JOURNALS // Zapiski Nauchnykh Seminarov POMI // Archive
Zap. Nauchn. Sem. 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

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.

UDC: 517.51+517.57

Received: 31.03.2017

Language: English


 English version: Journal of Mathematical Sciences (New York), 2019, 243:6, 825–834

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© Steklov Math. Inst. of RAS, 2024