Sharp Pitt's inequality and Beckner's logarithmic uncertainty principle for the Weinstein transform

DOI10.1007/S11868-023-00565-ZOpenAlexW4388178533MaRDI QIDQ6063501

Ming-gang Fei, Jiali Zhou

Publication date: 7 November 2023

Published in: Journal of Pseudo-Differential Operators and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11868-023-00565-z

zbMATH Keywords

Pitt's inequalityWeinstein transformWeinstein operatorBeckner's logarithmic uncertainty principle

Mathematics Subject Classification ID

Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42B10) Special integral transforms (Legendre, Hilbert, etc.) (44A15) Orthogonal polynomials and functions associated with root systems (33C52)

Cites Work

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• Sharp Pitt inequality and logarithmic uncertainty principle for Dunkl transform in \(L^2\)
• On the \(L^p - L^q\) norm of the Hankel transform and related operators
• Real Paley-Wiener theorems associated with the Weinstein operator
• Sharp constants in the Hardy-Rellich inequalities
• The Dunkl transform
• Weinstein-Sobolev spaces of exponential type and applications
• Boundedness and compactness of localization operators for Weinstein-Wigner transform
• Pitt's inequality and logarithmic uncertainty principle for the Clifford-Fourier transform
• Uncertainty principles for the weinstein transform
• Logarithmic uncertainty principle for the Hankel transform
• On the Clifford-Fourier Transform
• Laguerre semigroup and Dunkl operators
• Equiconvergence Theorems for Fourier-Bessel Expansions with Applications to the Harmonic Analysis of Radial Functions in Euclidean and Noneuclidean Spaces
• SPHERICAL HARMONICS ASSOCIATED TO THE LAPLACE–BESSEL OPERATOR AND GENERALIZED SPHERICAL CONVOLUTIONS
• Pitt's Inequalities and Uncertainty Principle for Generalized Fourier Transform
• Pitt's Inequality and the Uncertainty Principle
• Heisenberg-type inequalities for the Weinstein operator
• Generalized axially symmetric potential theory
• On weighted fractional integral inequalities

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