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
来源：
Lobachevskii Journal of Mathematics | 2016年 / 37卷 / 3期
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.
引用
收藏
页码：274 / 283
页数：9
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