Hardy's inequalities for Laguerre expansions

DOI10.2969/jmsj/05210017zbMath0946.42020OpenAlexW2053545809MaRDI QIDQ1975887

Makoto Satake

Publication date: 13 August 2000

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/05210017

zbMATH Keywords

Hardy spaceHardy inequalityLaguerre expansionsFourier-Laguerre coefficients

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 (14)

Multipliers of Hardy spaces associated with Laguerre expansions ⋮ Sharp Hardy's type inequality for Laguerre expansions ⋮ Coefficient multipliers of \(H^1\) into \(\ell^q\) associated with 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 ⋮ An improved Hardy's inequality associated with the Laguerre Fourier transform ⋮ Multipliers of Hardy spaces associated with generalized Hermite expansions ⋮ Hardy's inequality for the \(n\)-dimensional Hankel transform ⋮ On Hardy's inequality for Hermite expansions ⋮ Hardy's type inequality associated with the Laguerre Fourier transform ⋮ Hardy's inequality for Laguerre expansions of Hermite type ⋮ Hardy's inequalities for the Heisenberg group ⋮ Hardy's type inequality for the over critical exponent associated with the inverse Fourier Laguerre transform

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