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Generalized Hardy spaces

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Abstract

Hardy spaces with generalized parameter are introduced following the maximal characterization approach. As particular cases, they include the classical H p spaces and the Hardy-Lorentz spaces H p,q. Real interpolation results with function parameter are obtained. Based on them, the behavior of some classical operators is studied in this generalized setting.

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Authors and Affiliations

  1. Departamento de Matemática, Universidade de Aveiro, 3810-193, Aveiro, Portugal

    Alexandre Almeida & António M. Caetano

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  1. Alexandre Almeida
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  2. António M. Caetano
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Correspondence to Alexandre Almeida.

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Supported by the Research Unit Matemática e Aplicações (UIMA) of University of Aveiro, Portugal

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Almeida, A., Caetano, A.M. Generalized Hardy spaces. Acta. Math. Sin.-English Ser. 26, 1673–1692 (2010). https://doi.org/10.1007/s10114-010-8647-9

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  • DOI: https://doi.org/10.1007/s10114-010-8647-9

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