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Hardy spaces for Fourier-Bessel expansions

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Abstract

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 whose maximal functions for the corresponding Poisson semigroups belong to L 1. Atomic characterizations are obtained.

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Authors and Affiliations

  1. Instytutmatematyczny, Uniwersytetwrocławski, 50-384, Wrocław, Pl. Grunwaldzki 2/4, Poland

    Jacek Dziubański & Marcin Preisner

  2. Departamento de Matemáticas Y Computación, Universidad de la Rioja, 26004, Logroño, Spain

    Luz Roncal

  3. Department of Mathematics, Iowa State University, 396 Carver Hall, Ames, IA, 50011, USA

    Pablo Raúl Stinga

Authors
  1. Jacek Dziubański
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  2. Marcin Preisner
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  3. Luz Roncal
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  4. Pablo Raúl Stinga
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Corresponding author

Correspondence to Jacek Dziubański.

Additional information

The first and second authors were supported by Polish funds for sciences grant DEC-2012/05/B/ST1/00672 from Narodowe Centrum Nauki.

The third author was partially supported by grant MTM2012-36732-C03-02 from Spanish Government.

The fourth author was partially supported by grant MTM2011-28149-C02-01 from Spanish Government.

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Dziubański, J., Preisner, M., Roncal, L. et al. Hardy spaces for Fourier-Bessel expansions. JAMA 128, 261–287 (2016). https://doi.org/10.1007/s11854-016-0009-9

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  • DOI: https://doi.org/10.1007/s11854-016-0009-9

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