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

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We show that for $n=2$ and $\alpha>1/2$ Khabibullin's conjecture is not true. 
@article{ZNSL_2018_467_a0,
     author = {A. B\"erd\"ellima},
     title = {A note on a~conjecture by {Khabibullin}},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {7--20},
     publisher = {mathdoc},
     volume = {467},
     year = {2018},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_2018_467_a0/}
}
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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/