Weighted Hardy–Rellich Inequality for Dunkl Operators
In this paper, we proved a weighted Hardy–Rellich inequality for Dunkl operators based on the spherical h-harmonic decomposition theory of Dunkl operators. Moreover, we obtained the explicit constant of the inequalities, which is optimal in some cases. Our results extend some known inequalities.
Main Authors: | Jielin Lyu, Yongyang Jin, Shoufeng Shen, Li Tang |
---|---|
Format: | Article |
Language: | English |
Published: |
MDPI AG
2023-03-01
|
Series: | Mathematics |
Subjects: | |
Online Access: | https://www.mdpi.com/2227-7390/11/6/1487 |
Similar Items
-
Lp Hardy's identities and inequalities for Dunkl operators
by: Wang Jianxiong
Published: (2022-08-01) -
Some Inequalities of Hardy Type Related to Witten–Laplace Operator on Smooth Metric Measure Spaces
by: Yanlin Li, et al.
Published: (2022-12-01) -
Synchronization Analysis of Multiple Integral Inequalities Driven by Steklov Operator
by: Wedad Albalawi, et al.
Published: (2021-08-01) -
Improved Hardy Inequalities with a Class of Weights
by: Anna Canale
Published: (2023-02-01) -
On Some Generalizations of Reverse Dynamic Hardy Type Inequalities on Time Scales
by: Ahmed A. El-Deeb, et al.
Published: (2022-07-01)