Hardy spaces for Fourier--Bessel expansions

2013/06/19 by Jacek Dziubański, Marcin Preisner, Dziubański, J. +5
Mathematics · #Advanced Harmonic Analysis Research #Classical Analysis and ODEs (math.CA) #Differential Equations and Boundary Problems #FOS: Mathematics #Functional Analysis (math.FA) #Holomorphic and Operator Theory

paper · pdf · doi:10.48550/arxiv.1306.4412

openalex publication_date 2013/06/19 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We study Hardy spaces for Fourier--Bessel expansions associated with Bessel operators on ((0,1), x^2ν+1 dx) and ((0,1), dx). We define Hardy spaces H¹ as the sets of L¹-functions for which their maximal functions for the corresponding Poisson semigroups belong to L¹. Atomic characterizations are obtained.

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