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Hardy type inequalities with weights dependent on the bessel functions

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Abstract

We obtain a new sharp Hardy type inequality with an additional term. Using the Bessel functions we prove one dimensional inequality and their multidimensional analogs in domains with a finite inradius. The weight functions depend on the Bessel functions and Lamb’ s constants.

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Authors and Affiliations

  1. Kazan (Volga Region) Federal University, Kremlevskaya ul. 18, Kazan, Tatarstan, 420008, Russia

    R. Nasibullin

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  1. R. Nasibullin
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Correspondence to R. Nasibullin.

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Submitted by F. G. Avkhadiev

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Nasibullin, R. Hardy type inequalities with weights dependent on the bessel functions. Lobachevskii J Math 37, 274–283 (2016). https://doi.org/10.1134/S1995080216030185

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  • DOI: https://doi.org/10.1134/S1995080216030185

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