Estimate of the Fourier-Bessel multipliers for the poly-axially operator

DOI10.1007/s10114-020-9120-zzbMath1448.42020OpenAlexW3041637316MaRDI QIDQ2194750

Belgacem Selmi, Chahiba Khelifi

Publication date: 7 September 2020

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10114-020-9120-z

zbMATH Keywords

Bernstein-type inequalityFourier-Bessel transformFourier-Bessel multiplierHormander-Mikhlin multiplier theorempoly-axially operator

Mathematics Subject Classification ID

Maximal functions, Littlewood-Paley theory (42B25) Multipliers for harmonic analysis in several variables (42B15) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42A38)

Related Items (6)

Some integral operators and their relation to multidimensional Fourier-Bessel transform on L_α²(ℝ₊ⁿ) and applications ⋮ Hankel-type Segal-Bargmann transform and its applications to UP and PDEs ⋮ Calderón's reproducing formulas for the poly-axially L_α²-multiplier operators ⋮ Uncertainty principles for the Weinstein type Segal-Bargmann space ⋮ Linear and nonlinear Bessel potentials associated with the Poly-axially operator ⋮ Linear and nonlinear Bessel potentials associated with the Poly-axially operator

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