Fourier multipliers for Hardy spaces on Laguerre hypergroup

2014/10/30 by Rahmouni Atef, Atef, Rahmouni
Mathematics · #Advanced Harmonic Analysis Research #Advanced Mathematical Physics Problems #FOS: Mathematics #Functional Analysis (math.FA) #Mathematical Analysis and Transform Methods

paper · pdf · doi:10.48550/arxiv.1410.8368

openalex publication_date 2014/10/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The main purpose of this paper is to give an estimate for the Fourier Laguerre transform on Hardy spaces in the setting of Laguerre hypergroup. The atomic and molecular characterization is investigated which allows us to prove a version of Hormander's multiplier theorem on H^p (0

Citations

• Estimates for translation invariant operators in Lp spaces
• Hp spaces of several variables
• Parabolic maximal functions associated with a distribution, II

Related

• On the boundedness of multilinear Fourier multipliers on Hardy spaces
• A note on Fourier multipliers on the product Hardy spaces
• Hardy-Littlewood inequality and L^p-L^q Fourier multipliers on compact hypergroups
• Maximal function characterization of Hardy spaces related to Laguerre polynomial expansions
• Generalized Fourier transform on Chébli-Triméche hypergroups