Pitt's inequalities for the Dunkl transform on ℝd
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Publication:5168447
DOI10.1080/10652469.2014.898142zbMath1305.44005OpenAlexW2040642359MaRDI QIDQ5168447
Publication date: 4 July 2014
Published in: Integral Transforms and Special Functions (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/10652469.2014.898142
Dunkl transformStein-Weiss inequalityDunkl-type Riesz potentialsHardy-Littlewood-Sobolov inequalityPitt's inequalities
Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42B10) Integral transforms of special functions (44A20) Best constants in approximation theory (41A44)
Related Items (7)
Inequalities related to spherical harmonics associated with the Weinstein operator ⋮ The Hardy inequality and fractional Hardy inequality for the Dunkl Laplacian ⋮ Heisenberg-type uncertainty inequalities for the Dunkl wavelet transform ⋮ Inequalities in time-frequency analysis ⋮ Sharp Pitt inequality and logarithmic uncertainty principle for Dunkl transform in \(L^2\) ⋮ Dunkl-Stockwell transform and its applications to the time-frequency analysis ⋮ Hardy inequality and trace Hardy inequality for Dunkl gradient
Cites Work
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- Riesz transform and Riesz potentials for Dunkl transform
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- Integral Kernels with Reflection Group Invariance
- An uncertainty principle for the Dunkl transform
- An LP version of Hardy's theorem for the Dunkl transform
- A positive radial product formula for the Dunkl kernel
- Pitt's inequality with sharp convolution estimates
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