Hardy's Inequalities for Hermite and Laguerre Expansions

DOI10.1112/S0024609396002627zbMath0879.42019MaRDI QIDQ4342117

Yuichi Kanjin

Publication date: 22 December 1997

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

zbMATH Keywords

Hardy spaceatomic decompositionHardy inequalitiesHermite-Fourier expansionLaguerre-Fourier expansion

Mathematics Subject Classification ID

Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) (42C10) Inequalities for sums, series and integrals (26D15) Appell, Horn and Lauricella functions (33C65)

Related Items (19)

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 ⋮ 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 Hermite and Laguerre expansions revisited ⋮ Hardy's type inequality associated with the Hankel transform for over-critical exponent ⋮ Image of \(L^{p}(\mathbb R^{n})\) under the Hermite semigroup ⋮ Hardy's inequalities for the Heisenberg group ⋮ The Hardy inequality for Hermite expansions ⋮ Expansion by orthogonal systems with respect to Freud weights related to Hardy spaces ⋮ Hardy's type inequality for the over critical exponent associated with the inverse Fourier Laguerre transform ⋮ Hardy-type inequalities associated with the Weinstein operator

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