We show that for n = 2 and α > 1/2, Khabibullin’s conjecture is not true.
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R. A. Baladai and B. N. Khabibullin, “Three equivalent hypotheses on estimation of integrals,” Ufa Math. J., 2, No. 3, 31–38 (2010).
A. Bërdëllima, “About a conjecture regarding plurisubharmonic functions,” Ufa Math. J., 7, No. 4, 154–165 (2015).
B. N. Khabibullin, “Paley problem for plurisubharmonic functions of finite lower order,” Sb. Math., 190, No. 2, 145–157 (1999).
B. N. Khabibullin, “A conjecture on some estimates for integrals,” arXiv:1005.3913 (2010).
B. N. Khabibullin, “The representation of a meromorphic function as the quotient of entire functions and Paley problem in ℂn: survey of some results,” Math. Phys. Anal. Geom., 9, No. 2, 146–167 (2002).
R. A. Sharipov, “A note on Khabibullin’s conjecture for integral inequalities,” arXiv:1008.0376 (2010).
R. A. Sharipov, “A counterexample to Khabibullin’s conjecture for integral inequalities,” Ufa Math. J., 2, No. 4, 98–106.
J. Stewart, Calculus: Early Transcendentals, 8th edition, Boston (2016), pp. 305–394.
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Published in Zapiski Nauchnykh Seminarov POMI, Vol. 467, 2018, pp. 7–20.
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Bërdëllima, A. A Note on a Conjecture by Khabibullin. J Math Sci 243, 825–834 (2019). https://doi.org/10.1007/s10958-019-04580-8
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DOI: https://doi.org/10.1007/s10958-019-04580-8