Sobolev-type inequalities for Dunkl operators

DOI10.1016/j.jfa.2020.108695zbMath1456.26019arXiv1811.11118OpenAlexW2903032771MaRDI QIDQ785889

Andrei Velicu

Publication date: 12 August 2020

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1811.11118

zbMATH Keywords

Sobolev inequalityoptimal constantsNash inequalityDunkl operator

Mathematics Subject Classification ID

Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42B10) Other transforms and operators of Fourier type (43A32) Inequalities involving derivatives and differential and integral operators (26D10)

Related Items

Rellich, Gagliardo-Nirenberg, Trudinger and Caffarelli-Kohn-Nirenberg inequalities for Dunkl operators and applications, Hardy-Sobolev inequalities with Dunkl weights, Boundedness of bilinear Dunkl–Hausdorff operators on products of Lebesgue and Morrey spaces, Dimension-free \(L^p\)-estimates for vectors of Riesz transforms in the rational Dunkl setting, Dimension‐free square function estimates for Dunkl operators, On some inequalities involving the function and its fractional derivative, Existence of extremals of Dunkl-type Sobolev inequality and of Stein-Weiss inequality for Dunkl Riesz potential, Schrödinger operators with reverse Hölder class potentials in the Dunkl setting and their Hardy spaces, Behavior of eigenvalues of certain Schrödinger operators in the rational Dunkl setting, Relative Nash-type and \(L^2\)-Sobolev inequalities in Dunkl setting, Logarithmic Sobolev inequalities for Dunkl operators with applications to functional inequalities for singular Boltzmann-Gibbs measures, Hardy-type inequalities for Dunkl operators with applications to many-particle Hardy inequalities, Upper and lower bounds for Littlewood–Paley square functions in the Dunkl setting

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