Geodesic
A note on a conjecture by Khabibullin
Zapiski Nauchnykh Seminarov POMI, Investigations on linear operators and function theory. Part 46, Tome 467 (2018), pp. 7-20 
A. Bërdëllima. A note on a conjecture by Khabibullin. Zapiski Nauchnykh Seminarov POMI, Investigations on linear operators and function theory. Part 46, Tome 467 (2018), pp. 7-20. http://geodesic.mathdoc.fr/item/ZNSL_2018_467_a0/
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Voir la notice du chapitre de livre provenant de la source Math-Net.Ru

We show that for $n=2$ and $\alpha>1/2$ Khabibullin's conjecture is not true.

[1] R. A. Baladai, B. N. Khabibullin, “Three equivalent hypotheses on estimation of integrals”, Ufa Math. J., 2:3 (2010), 31–38 | Zbl

[2] A. Bërdëllima, “About a conjecture regarding plurisubharmonic functions”, Ufa Math. J., 7:4 (2015), 154–165 | DOI | MR

[3] B. N. Khabibullin, “Paley problem for plurisubharmonic functions of finite lower order”, Sbornik Mathematics, 190:2 (1999), 145–157 | DOI | MR | Zbl

[4] B. N. Khabibullin, A conjecture on some estimates for integrals, 2010, arXiv: 1005.3913

[5] B. N. Khabibullin, “The representation of a meromorphic function as the quotient of entire functions and Paley problem in $\mathbb C_n$: survey of some results”, Math. Phys. Anal., and Geometry (Ukraine), 9:2 (2002), 146–167 | MR | Zbl

[6] R. A. Sharipov, A note on Khabibullin's conjecture for integral inequalities, 2010, arXiv: 1008.0376

[7] R. A. Sharipov, “A counterexample to Khabibullin's conjecture for integral inequalities”, Ufa Math. J., 2:4 (2010), 99–107 | Zbl

[8] J. Stewart, Calculus: Early Transcendentals, 8th Ed., Boston, 2016, 305, 394