Hausdorff operators associated with the Sturm-Liouville operator

DOI10.1007/S12215-024-01166-5MaRDI QIDQ6667773

Fethi Soltani, Author name not available (Why is that?)

Publication date: 20 January 2025

Published in: Rendiconti del Circolo Matematico di Palermo (Search for Journal in Brave)

zbMATH Keywords

Sturm-Liouville transformSturm-Liouville convolutionadjoint Sturm-Liouville Hausdorff operatorcontinuous Sturm-Liouville wavelet transformSturm-Liouville Hausdorff operators

Mathematics Subject Classification ID

Integral transforms of special functions (44A20) Integral operators (47G10) General integral transforms (44A05)

Cites Work

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• Extremal functions on Sturm-Liouville hypergroups
• Inversion of the Lions transmutation operators using generalized wavelets
• Transformation intégrale de Weyl et théorème de Paley-Wiener associes à un opérateur différentiel singulier sur \((0,\infty)\)
• Heisenberg inequalities for Jacobi transforms
• Heisenberg uncertainty principle on Chébli-Trimèche hypergroups
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• Sobolev-type spaces on the dual of the Chébli-Trimèche hypergroup and applications
• Multivariate Hausdorff operators on the spaces \(L^p(\mathbb R^n)\)
• The Dunkl-Hausdorff operators and the Dunkl continuous wavelets transform
• Boundedness of multidimensional Hausdorff operators on \(H^1(\mathbb R^n)\)
• The Hausdorff operators on the real Hardy spaces \(H^p ({\mathbb R})\)
• \(\mathsf{L}^{\mathsf {p}}\) local uncertainty inequality for the Sturm-Liouville transform
• Local uncertainty principle for the Hankel transform
• Logarithmic uncertainty principle for the Hankel transform
• The Hausdorff Mean of a Fourier-Stieltjes Transform
• Fourier Multipliers for L ^p on Chébli-Trimèche Hypergroups
• Properties of the Hankel–Hausdorff operator on Hardy spaceH¹(0,∞)
• THE BOUNDEDNESS OF THE HAUSDORFF OPERATOR ON MULTI-DIMENSIONAL HARDY SPACES
• Best Constants for Two Nonconvolution Inequalities
• The Hausdorff operator is bounded on the real Hardy space 𝐻¹(ℝ)
• The Dunkl-Hausdorff operator is bounded on the real Hardy space
• Multidimensional Hausdorff operators on the real Hardy space
• Uncertainty principles for the continuous wavelet transform in the Hankel setting
• Théoreme de Paley-Wiener associe à un opérateur différentiel singulier sur \((0,+\infty)\)

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