Hardy-type inequalities for Dunkl operators with applications to many-particle Hardy inequalities

DOI10.1142/S0219199720500248zbMath1478.35011arXiv1901.08866OpenAlexW3105470105MaRDI QIDQ5002173

Andrei Velicu

Publication date: 27 July 2021

Published in: Communications in Contemporary Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1901.08866

zbMATH Keywords

Hardy inequalityDunkl operatorsmany-body interactionsCalogero-Moser-Sutherland model

Mathematics Subject Classification ID

Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42B10) Other transforms and operators of Fourier type (43A32) (n)-body problems (70F10) Inequalities involving derivatives and differential and integral operators (26D10) Inequalities applied to PDEs involving derivatives, differential and integral operators, or integrals (35A23)

Related Items

Hardy-Rellich type inequalities associated with Dunkl operators, Rellich, Gagliardo-Nirenberg, Trudinger and Caffarelli-Kohn-Nirenberg inequalities for Dunkl operators and applications, \(L^p\) Hardy's identities and inequalities for Dunkl operators, Improved Hardy inequalities and weighted Hardy type inequalities with spherical derivatives, Logarithmic Sobolev inequalities for Dunkl operators with applications to functional inequalities for singular Boltzmann-Gibbs measures

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Hardy and Lieb-Thirring inequalities for anyons
• Analysis on \(h\)-harmonics and Dunkl transforms. Edited by Sergey Tikhonov
• The analysis and geometry of Hardy's inequality
• Sobolev-type inequalities for Dunkl operators
• Sharp Pitt inequality and logarithmic uncertainty principle for Dunkl transform in \(L^2\)
• Completely integrable Hamiltonian systems connected with semisimple Lie algebras
• Quantum systems related to root systems, and radial parts of Laplace operators
• Optimizing improved Hardy inequalities
• A Hardy inequality in the half-space
• Generalized Lorentz spaces and applications
• SHORT-TIME ESTIMATES FOR HEAT KERNELS ASSOCIATED WITH ROOT SYSTEMS
• Nonlinear PDEs
• Differential-Difference Operators Associated to Reflection Groups
• An Introduction to Dunkl Theory and Its Analytic Aspects
• Hardy-Type Inequalities for Fractional Powers of the Dunkl–Hermite Operator
• Geometric extensions of many-particle Hardy inequalities
• Many-particle Hardy inequalities
• Sobolev Spaces