Hardy's inequality for Jacobi expansions

DOI10.7153/MIA-07-56zbMath1070.42020OpenAlexW2139050714MaRDI QIDQ4663974

Yuichi Kanjin, Kunio Sato

Publication date: 5 April 2005

Published in: Mathematical Inequalities & Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.7153/mia-07-56

zbMATH Keywords

Hardy inequalityFourier-Jacobi expansionsJacobi functionsreal Hardy space

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) Inequalities for sums, series and integrals (26D15) Completeness of sets of functions in nontrigonometric harmonic analysis (42C30)

Related Items (10)

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 ⋮ Multipliers of Hardy spaces associated with generalized Hermite expansions ⋮ On Hardy's inequality for Hermite expansions ⋮ Hardy's inequalities for Hermite and Laguerre expansions revisited ⋮ Hardy's inequalities for the Heisenberg group ⋮ Coefficient multipliers in the Hardy space associated with Jacobi expansions

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