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On Hardy spaces associated with Bessel operators

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Abstract

In this paper, we study Hardy spaces associated with two Bessel operators. Two different kind of Hardy spaces appear. These differences are transparent in the corresponding atomic decompositions.

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Authors and Affiliations

  1. Departamento De Análisis Matemático, Universidad De La Laguna, Campus de Anchieta, Avda. Astrofísico Francisco Sánchez, S/N, 38271, La Laguna (Sta. Cruz de Tenerife), Spain

    Jorge J. Betancor

  2. Institute Of Mathematics, University Of Wroclaw, PL. Grunwaldzki 2/4, 50-384, Wroclaw, Poland

    Jacek Dziubański

  3. Departamento De Matemáticas, Facultad De Ciencias Universidad Autónoma De Madrid, 28049, Madrid, Spain

    Jose Luis Torrea

Authors
  1. Jorge J. Betancor
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  2. Jacek Dziubański
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  3. Jose Luis Torrea
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Corresponding author

Correspondence to Jorge J. Betancor.

Additional information

The first author was partially supported by MTM2004/05878.

The second author was supported by the European Commission Marie Curie Host Fellowship for the Transfer of Knowledge “Harmonic Analysis, Nonlinear Analysis and Probability” MTKD-CT-2004-013389 and by Polish funds for science in years 2005–2008 (research project 1P03A03029).

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Betancor, J.J., Dziubański, J. & Torrea, J.L. On Hardy spaces associated with Bessel operators. J Anal Math 107, 195–219 (2009). https://doi.org/10.1007/s11854-009-0008-1

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  • DOI: https://doi.org/10.1007/s11854-009-0008-1

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