Improved Hardy and Hardy-Rellich type inequalities with Bessel pairs via factorizations
type: Item
instance of: scholarly article
title: Improved Hardy and Hardy-Rellich type inequalities with Bessel pairs via factorizations
DOI: 10.4171/JST/327
author: Nguyen Anh Triet
author: Nguyen Tuan Duy
author: Nguyen Lam
published in: Journal of Spectral Theory
publication date: 2021-08-03T00:00:00Z
review text: Summary: Using the factorizations of suitable operators, we establish several identities that give simple and direct understandings as well as provide the remainders and ``virtual'' optimizers of several the Hardy and Hardy-Rellich type inequalities.
Mathematics Subject Classification ID: 35A23
Mathematics Subject Classification ID: 35J30
Mathematics Subject Classification ID: 47A63
Mathematics Subject Classification ID: 47F05
zbMATH DE Number: 7377502
zbMATH Keywords: Hardy inequality
zbMATH Keywords: Hardy-Rellich inequality
zbMATH Keywords: factorizations of differential operators
MaRDI profile type: Publication
Wikidata QID: Q114021457
cites work: An improved Hardy-Sobolev inequality and its application
cites work: The analysis and geometry of Hardy's inequality
cites work: A unified approach to improved $L^p$ Hardy inequalities with best constants
cites work: Hardy-Rellich inequalities with boundary remainder terms and applications
cites work: Q4378149
cites work: Q4938492
cites work: The Rellich inequality
cites work: Q3646862
cites work: Hardy and Rellich inequalities with remainders
cites work: Nonlinear ground state representations and sharp Hardy inequalities
cites work: Hardy inequalities with optimal constants and remainder terms
cites work: Factorizations and Hardy–Rellich-type inequalities
cites work: Radial and logarithmic refinements of Hardy’s inequality
cites work: On Birman's sequence of Hardy-Rellich-type inequalities
cites work: A generalization of the virial theorem for strongly singular potentials
cites work: Bessel pairs and optimal Hardy and Hardy-Rellich inequalities
cites work: Functional Inequalities: New Perspectives and New Applications
cites work: A unified approach to weighted Hardy type inequalities on Carnot groups
cites work: A Scale Invariant Form of a Critical Hardy Inequality
cites work: Sharp remainder of a critical Hardy inequality
cites work: Improved Hardy and Rellich inequalities on Riemannian manifolds
cites work: Q5439977
cites work: Q4784073
cites work: A note on Hardy inequalities on homogeneous groups
cites work: Hardy and Hardy–Rellich type inequalities with Bessel pairs
cites work: Remarks on the Rellich inequality
cites work: Remarks on the Hardy type inequalities with remainder terms in the framework of equalities
cites work: Q3997067
cites work: Q3238502
cites work: Hardy and Rellich inequalities, identities, and sharp remainders on homogeneous groups
cites work: On horizontal Hardy, Rellich, Caffarelli-Kohn-Nirenberg and \(p\)-sub-Laplacian inequalities on stratified groups
cites work: Very weak solutions to hypoelliptic wave equations
cites work: Scaling invariant Hardy type inequalities with non-standard remainder terms
cites work: Scale invariance structures of the critical and the subcritical Hardy inequalities and their improvements
cites work: A simple proof of Hardy's inequality in a limiting case
cites work: Best constants in the Hardy-Rellich inequalities and related improvements
Recommended article: Hardy and Hardy–Rellich type inequalities with Bessel pairs
Recommended article: Bessel pairs and optimal Hardy and Hardy-Rellich inequalities
Recommended article: Bessel-type operators and a refinement of Hardy's inequality
Recommended article: Factorizations and Hardy–Rellich-type inequalities
Recommended article: Hardy type inequalities with weights dependent on the Bessel functions
Recommended article: Improved Hardy-Rellich inequalities
Recommended article: Q4427600
Recommended article: Cylindrical Hardy type inequalities with Bessel pairs
Recommended article: Improvements and generalizations of two Hardy type inequalities and their applications to the Rellich type inequalities
Recommended article: Improved Hardy and Rellich type inequalities with two weight functions
description: scientific article; zbMATH DE number 7377502