Hardy spaces for Fourier--Bessel expansions

Hardy spaces for Fourier--Bessel expansions

We study Hardy spaces for Fourier--Bessel expansions associated with Bessel operators on \(((0,1), x^{2\nu+1}\, dx)\) and \(((0,1), dx)\). We define Hardy spaces \(H^1\) as the sets of \(L^1\)-functions for which their maximal functions for the corresponding Poisson semigroups belong to \(L^1\). Ato...

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Veröffentlicht in:arXiv.org 2014-02
Hauptverfasser: Dziubański, J, Preisner, M, Roncal, L, Stinga, P R
Format: Artikel
Sprache:eng
Schlagworte:
Operators (mathematics)
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Zusammenfassung:We study Hardy spaces for Fourier--Bessel expansions associated with Bessel operators on \(((0,1), x^{2\nu+1}\, dx)\) and \(((0,1), dx)\). We define Hardy spaces \(H^1\) as the sets of \(L^1\)-functions for which their maximal functions for the corresponding Poisson semigroups belong to \(L^1\). Atomic characterizations are obtained.
ISSN:2331-8422