Transference of \(L_p\) bounds between symmetrized Jacobi expansions and Dunkl transform

DOI10.1007/S10474-020-01042-5zbMath1474.42044OpenAlexW3027919554MaRDI QIDQ2226638

Wojciech Słomian

Publication date: 8 February 2021

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

Full work available at URL: https://doi.org/10.1007/s10474-020-01042-5

zbMATH Keywords

symmetrizationHankel transformtransplantationmultiplierJacobi polynomialJacobi expansionDunkl transform

Mathematics Subject Classification ID

Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42B10) Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) (42C10) Multipliers in one variable harmonic analysis (42A45)

Cites Work

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• Transplantation theorems -- a survey
• Harmonic analysis operators related to symmetrized Jacobi expansions for all admissible parameters
• On connections between Hankel, Laguerre and Jacobi transplantations.
• Functions of \(L^ p\)-multipliers
• On the multipliers of Hankel transform
• A symmetrized conjugacy scheme for orthogonal expansions
• Relating transplantation and multipliers for Dunkl and Hankel transforms
• On Connections Between Hankel, Laguerre and Heisenberg Multipliers
• Relating multipliers and transplantation for Fourier-Bessel expansions and Hankel transform

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