On the multipliers of Hankel transform

DOI10.2748/tmj/1178241530zbMath0239.42004OpenAlexW2057374697MaRDI QIDQ2553589

Satoru Igari

Publication date: 1972

Published in: Tôhoku Mathematical Journal. Second Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2748/tmj/1178241530

Mathematics Subject Classification ID

Special integral transforms (Legendre, Hilbert, etc.) (44A15) Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05) Multipliers in one variable harmonic analysis (42A45)

Related Items (13)

On connections between Hankel, Laguerre and Jacobi transplantations. ⋮ On \(L^ p\) multipliers of Cartan motion groups ⋮ A generalization of the Hankel transform and the Lorentz multipliers ⋮ Transplanting maximal inequalities between Laguerre and Hankel multipliers ⋮ Transference of \(L_p\) bounds between symmetrized Jacobi expansions and Dunkl transform ⋮ Transferring boundedness from conjugate operators associated with Jacobi, Laguerre, and Fourier-Bessel expansions to conjugate operators in the Hankel setting ⋮ Relating multipliers and transplantation for Fourier-Bessel expansions and Hankel transform ⋮ Transplantation theorems -- a survey ⋮ Multiplier criteria of Hörmander type for Fourier series and applications to Jacobi series and Hankel transforms ⋮ Multipliers with respect to spectral measures in Banach spaces and approximation. I: Radial multipliers in connection with Riesz-bounded spectral measures ⋮ Mean Convergence of Fourier Series on Compact Lie Groups ⋮ Radial Functions and Invariant Convolution Operators ⋮ Convergence and Divergence Almost Everywhere of Spherical Means for Radial Functions

Cites Work

• Unnamed Item
• A transplantation theorem between ultraspherical series
• Functions of \(L^ p\)-multipliers
• The mean convergence of orthogonal series. III
• Mean Summability for Ultraspherical Polynomials.

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