A multiplier theorem for Jacobi expansions

DOI10.4064/sm-52-3-243-261zbMath0266.42003OpenAlexW874652869MaRDI QIDQ5683201

William C. Connett, Alan L. Schwartz

Publication date: 1975

Published in: Studia Mathematica (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/217942

Mathematics Subject Classification ID

Maximal functions, Littlewood-Paley theory (42B25) 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) Conjugate functions, conjugate series, singular integrals (42A50)

Related Items (8)

Multiplier Criteria of Marcinkiewicz Type for Jacobi Expansions ⋮ Product formulas, hypergroups, and the Jacobi polynomials ⋮ The Littlewood-Paley Theory for Jacobi Expansions ⋮ Hardy spaces for Dunkl-Gegenbauer expansions ⋮ Analysis of a Class of Probability Preserving Measure Algebras on Compact Intervals ⋮ Multiplier criteria of Hörmander type for Fourier series and applications to Jacobi series and Hankel transforms ⋮ Analysis related to all admissible type parameters in the Jacobi setting ⋮ Weighted estimates of singular integrals and their applications

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