Hardy type inequalities for the fractional relativistic operator

Hardy type inequalities for the fractional relativistic operator

We prove Hardy type inequalities for the fractional relativistic operator by using two different techniques. The first approach goes through trace Hardy inequalities. In order to get the latter, we study the solutions of the associated extension problem. The second develops a non-local version of th...

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Bibliographic Details
Main Author: Luz Roncal
Format: Article
Language:English
Published: AIMS Press 2022-05-01
Series:Mathematics in Engineering
Subjects:
trace hardy inequality
hardy inequality
extension problem
ground state representation
fractional operator
Online Access:https://www.aimspress.com/article/doi/10.3934/mine.2022018?viewType=HTML

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https://www.aimspress.com/article/doi/10.3934/mine.2022018?viewType=HTML

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