Multiplier Criteria of Marcinkiewicz Type for Jacobi Expansions
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Publication:4148300
DOI10.2307/1997873zbMath0369.42003OpenAlexW4240678752MaRDI QIDQ4148300
Publication date: 1977
Full work available at URL: https://doi.org/10.2307/1997873
Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) (42C10) Multipliers in one variable harmonic analysis (42A45)
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The Littlewood-Paley Theory for Jacobi Expansions ⋮ Hardy spaces for Dunkl-Gegenbauer expansions ⋮ Hardy-Littlewood inequality and $L^p$-$L^q$ Fourier multipliers on compact hypergroups ⋮ On the norms of generalized translation operators generated by the Jacobi-Dunkl operators ⋮ Harmonic analysis associated with the Jacobi-Dunkl operator on \(-\frac{\pi}{2},\frac{\pi}{2}[\)] ⋮ Analysis related to all admissible type parameters in the Jacobi setting ⋮ Weighted estimates of singular integrals and their applications
Cites Work
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- Estimates for translation invariant operators in \(L^p\) spaces
- Multipliers for (C,a)-bounded Fourier expansions in Banach spaces and approximation theory
- Positivity and the convolution structure for Jacobi series
- Analyse harmonique non-commutative sur certains espaces homogènes. Etude de certaines intégrales singulières. (Non-commutative harmonic analysis on certain homogeneous spaces. Study of certain singular integrals.)
- Banach algebras for Jacobi series and positivity of a kernel
- A multiplier theorem for ultraspherical series
- Positive Sums of the Classical Orthogonal Polynomials
- Sommes De Cesaro Et Multiplicateurs Des Developpements en Harmoniques Spheriques
- Classical Expansions and Their Relation to Conjugate Harmonic Functions
- Jacobi Polynomials, II. An Analytic Proof of the Product Formula
- A multiplier theorem for Jacobi expansions
- The Generating Function of Jacobi Polynomials
- Note on the Bohr-Hardy Theorem
