Hardy spaces for Fourier-Bessel expansions

We study Hardy spaces for Fourier-Bessel expansions associated with Bessel operators on and ((0, 1), dx ). We define Hardy spaces H 1 as the sets of L 1 -functions whose maximal functions for the corresponding Poisson semigroups belong to L 1 . Atomic characterizations are obtained.

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Bibliographic Details
Published in:Journal d'analyse mathématique (Jerusalem) 2016-02, Vol.128 (1), p.261-287
Main Authors: Dziubański, Jacek, Preisner, Marcin, Roncal, Luz, Stinga, Pablo Raúl
Format: Article
Language:English
Subjects:
Abstract Harmonic Analysis
Analysis
Dynamical Systems and Ergodic Theory
Fourier-Bessel transformations
Functional Analysis
Group theory
Mathematical analysis
Mathematics
Mathematics and Statistics
Operators
Partial Differential Equations
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Summary:We study Hardy spaces for Fourier-Bessel expansions associated with Bessel operators on and ((0, 1), dx ). We define Hardy spaces H 1 as the sets of L 1 -functions whose maximal functions for the corresponding Poisson semigroups belong to L 1 . Atomic characterizations are obtained.
ISSN:0021-7670
1565-8538
DOI:10.1007/s11854-016-0009-9