Hardy type inequalities with weights dependent on the bessel functions

被引:5
|
作者
Nasibullin R. [1 ]
机构
[1] Kazan (Volga Region) Federal University, Kremlevskaya ul. 18, Kazan, Tatarstan
关键词
Bessel functions; convex domains; distance function; Hardy inequality; inradius; Lamb constant;
D O I
10.1134/S1995080216030185
中图分类号
学科分类号
摘要
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. © 2016, Pleiades Publishing, Ltd.
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页码:274 / 283
页数:9
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