Weak-type inequality for conjugate first order Riesz-Laguerre transforms

DOI10.1007/s00041-010-9166-xzbMath1238.42012OpenAlexW2072323910MaRDI QIDQ650084

Liliana Forzani, Emanuela Sasso, Roberto Scotto

Publication date: 25 November 2011

Published in: The Journal of Fourier Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00041-010-9166-x

zbMATH Keywords

Laguerre expansionsconjugate Poisson integralsconjugate Riesz-Laguerre transforms

Mathematics Subject Classification ID

Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) (42C10)

Related Items

Maximal operators of exotic and non-exotic Laguerre and other semigroups associated with classical orthogonal expansions, Variation inequalities for Riesz transforms and Poisson semigroups associated with Laguerre polynomial expansions, Riesz transforms and spectral multipliers of the Hodge-Laguerre operator

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• \(L^2\)-theory of Riesz transforms for orthogonal expansions
• Riesz transforms for Jacobi expansions
• Weak-type inequalities for higher order Riesz-Laguerre transforms
• Higher-order Riesz operators for the Ornstein-Uhlenbeck semigroup
• On the Riesz transforms for Gaussian measures
• Weak-type estimates for the Riesz transform associated with the Gaussian measure
• On higher Riesz transforms for Gaussian measures
• The local part and the strong type for operators related to the Gaussian measure.
• Functional calculus for the Laguerre operator
• On Riesz transforms for Laguerre expansions
• Weak type inequality for a family of singular integral operators related with the Gaussian measure
• On Riesz transforms and maximal functions in the context of Gaussian Harmonic Analysis
• The Mehler Maximal Function: a Geometric Proof of the Weak Type 1
• Boundedness of Littlewood-Paley g-functions of higher order associated with the Ornstein-Uhlenbeck semigroup
• Weak Type Estimates for Riesz-Laguerre Transforms
• Hermite Conjugate Expansions
• Conjugate Functions for Laguerre Expansions
• Topics in Harmonic Analysis Related to the Littlewood-Paley Theory. (AM-63)