Hardy's inequalities for Hermite and Laguerre expansions revisited

DOI10.2969/jmsj/06330753zbMath1225.42020OpenAlexW2168853168MaRDI QIDQ719078

Yuichi Kanjin

Publication date: 27 September 2011

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

Full work available at URL: https://doi.org/10.2969/jmsj/06330753

zbMATH Keywords

Hermite expansionHardy's inequalityLaguerre expansion

Mathematics Subject Classification ID

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) (H^p)-spaces (42B30)

Related Items (10)

Sharp Hardy's type inequality for Laguerre expansions ⋮ Hardy's inequalities for the twisted convolution with Laguerre functions ⋮ Sharp Hardy's inequality for Jacobi and symmetrized Jacobi trigonometric expansions ⋮ Sharp Hardy's inequality for orthogonal expansions in \(H^p\) spaces ⋮ Multipliers of Hardy spaces associated with generalized Hermite expansions ⋮ On Hardy's inequality for Hermite expansions ⋮ Hardy's inequality for Laguerre expansions of Hermite type ⋮ Hardy's inequalities for the Heisenberg group ⋮ Multipliers for Jacobi expansions in the Hardy spaces ⋮ The Hardy inequality for Hermite expansions

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• On regularity of twisted spherical means and special Hermite expansions
• A transplantation theorem for ultraspherical polynomials at critical index
• Hardy-Lorentz spaces and expansions in eigenfunctions of the Laplace-Beltrami operator on compact manifolds
• Hardy's Inequalities for Hermite and Laguerre Expansions
• Hardy's inequality for Jacobi expansions
• Hardy’s inequalities for Hermite and Laguerre expansions
• The Hardy-Littlewood Theorem on Fractional Integration for Laguerre Series
• Mean Convergence of Expansions in Laguerre and Hermite Series
• Mean Convergence of Hermite and Laguerre Series. I
• On Hankel transformation, convolution operators and multipliers on Hardy type spaces

This page was built for publication: Hardy's inequalities for Hermite and Laguerre expansions revisited