Factorizations and Hardy-Rellich inequalities on stratified groups

DOI10.4171/JST/330zbMath1487.22011arXiv1706.05108WikidataQ114021456 ScholiaQ114021456MaRDI QIDQ2043648

Nurgissa Yessirkegenov, Michael Ruzhansky

Publication date: 3 August 2021

Published in: Journal of Spectral Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1706.05108

zbMATH Keywords

Heisenberg groupfactorizationHardy inequalityHardy-Rellich inequalitystratified grouphomogeneous Lie group

Mathematics Subject Classification ID

Analysis on real and complex Lie groups (22E30) Analysis on other specific Lie groups (43A80) Spectral theory; eigenvalue problems on manifolds (58C40) Inequalities applied to PDEs involving derivatives, differential and integral operators, or integrals (35A23)

Related Items (9)

A sequence of weighted Birman-Hardy-Rellich inequalities with logarithmic refinements ⋮ Optimality of constants in power-weighted Birman-Hardy-Rellich-Type inequalities with logarithmic refinements ⋮ Reverse Stein-Weiss, Hardy-Littlewood-Sobolev, Hardy, Sobolev and Caffarelli-Kohn-Nirenberg inequalities on homogeneous groups ⋮ Some Hardy identities on half‐spaces ⋮ Geometric Hardy's inequalities with general distance functions ⋮ Coercive inequalities and U-bounds on step-two Carnot groups ⋮ Coercive inequalities in higher-dimensional anisotropic Heisenberg group ⋮ Generalised nonlinear Picone identities for \(p\)-sub-Laplacians and \(p\)-biharmonic operators and applications ⋮ Cylindrical Hardy type inequalities with Bessel pairs

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