Boundedness of projection operators and Cesàro means in weighted 𝐿^{𝑝} space on the unit sphere

DOI10.1090/S0002-9947-09-04846-6zbMath1173.33011arXiv0706.0756MaRDI QIDQ3629392

Yuan Xu, Feng Dai

Publication date: 27 May 2009

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0706.0756

zbMATH Keywords

projection operatorsorthogonal expansionsCesaro means

Mathematics Subject Classification ID

Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) (42C10) Summability in several variables (42B08) Orthogonal polynomials and functions in several variables expressible in terms of special functions in one variable (33C50)

Related Items

Riesz transforms and fractional integration for orthogonal expansions on spheres, balls and simplices ⋮ On the K-functional in learning theory ⋮ Cesàro summability of Fourier orthogonal expansions on the cylinder ⋮ Sharp estimates of the Cesàro kernels for weighted orthogonal polynomial expansions in several variables ⋮ The Poisson operator for orthogonal polynomials in the multidimensional ball ⋮ A transference theorem for the Dunkl transform and its applications ⋮ Almost everywhere convergence of Bochner-Riesz means with critical index for Dunkl transforms

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