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.

Bibliographic Details
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

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