Pitt's inequality and logarithmic uncertainty principle for the Dunkl transform on \(\mathbb R\)

DOI10.1007/S10474-014-0415-3zbMath1324.42013OpenAlexW2028358507MaRDI QIDQ397052

Fethi Soltani

Publication date: 14 August 2014

Published in: Acta Mathematica Hungarica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10474-014-0415-3

zbMATH Keywords

Dunkl transformDunkl-Bessel potentiallogarithmic uncertainty principlePitt's inequalityStein-Weiss inequality

Mathematics Subject Classification ID

Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42B10) Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) (H^p)-spaces (42B30)

Related Items (8)

Inequalities related to spherical harmonics associated with the Weinstein operator ⋮ The Hardy inequality and fractional Hardy inequality for the Dunkl Laplacian ⋮ Uncertainty inequalities for certain connected Lie groups ⋮ Inequalities in time-frequency analysis ⋮ Sharp Pitt inequality and logarithmic uncertainty principle for Dunkl transform in \(L^2\) ⋮ Linear canonical wave packet transform ⋮ Hardy inequality and trace Hardy inequality for Dunkl gradient ⋮ Non-isotropic angular Stockwell transform and the associated uncertainty principles

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