Two-weight norm inequalities for the Cesàro means of generalized Hermite expansions

DOI10.1016/j.cam.2004.03.027zbMath1084.42021OpenAlexW2007276298MaRDI QIDQ1772334

Óscar Ciaurri, Juan Luis Varona

Publication date: 18 April 2005

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2004.03.027

zbMATH Keywords

Cesàro meansHermite polynomialsNörlund meansgeneralized Hermite polynomialsweighted norm inequalitiestwo-weight norm inequalitiesHermite expansionsgeneralized Hermite expansions

Mathematics Subject Classification ID

Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) (42C10)

Related Items

Mixed norm estimates for the Cesàro means associated with Dunkl–Hermite expansions, The Bochner-Riesz means for Fourier-Bessel expansions

Cites Work

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• Two-weight norm inequalities for the Cesàro means of Hermite expansions
• Two-weight norm inequalities for Cesàro means of Laguerre expansions
• Mean Convergence of Expansions in Laguerre and Hermite Series
• Asymptotic Forms for Laguerre Polynomials
• Mean Convergence of Hermite and Laguerre Series. I
• Mean Cesaro Summability of Laguerre and Hermite Series