Multidimensional Hardy Type Inequalities with Remainders
- 作者: Nasibullin R.1
-
隶属关系:
- N.I. Lobachevskii Institute of Mathematics and Mechanics
- 期: 卷 40, 编号 9 (2019)
- 页面: 1383-1396
- 栏目: Article
- URL: https://journals.rcsi.science/1995-0802/article/view/205539
- DOI: https://doi.org/10.1134/S1995080219090166
- ID: 205539
如何引用文章
详细
Hardy type inequalities with an additional nonnegative-term are established for compactly supported smooth functions on arbitrary open subsets and on convex domains of the Euclidean space. We prove Hardy-type inequalities in spatial domains with finite inner radius. Weight functions depend on the distance function to the boundary of the domain. We obtain one-dimensional L1-inequalities. In particular cases we obtained sharp constants. Also new Hardy type inequality with remainders for the Riemann-Liouville fractional integrals is proved.
作者简介
R. Nasibullin
N.I. Lobachevskii Institute of Mathematics and Mechanics
编辑信件的主要联系方式.
Email: NasibullinRamil@gmail.com
俄罗斯联邦, Kazan, Tatarstan, 420008