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A vector-valued approach to tent spaces

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Abstract

In this paper we present a new point of view to study the tent spaces introduced by Coifman, Meyer and Stein ([CMS1] and [CMS2]) by immersing them into vector-valued Lebesgue, Hardy and BMO spaces. This approach allows us to derive many of the known properties for tent spaces in a very simple manner. In fact most of the results are obtained as a consequence of similar results for those vector-valued spaces where they are immersed. The main tool we use to obtain such immersions and the applications to boundedness of operators, given in § 4, is the vector-valued Calderón-Zygmund theory.

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Authors and Affiliations

  1. PEMA-INTEC, Guemes 3450, 3000, Santa Fe, Argentina

    Eleonor Harboure & Beatriz E. Viviani

  2. División de Matemáticas Facultad de Ciencias, Universidad Autónoma de Madrid, 28049, Madrid, Spain

    José L. Torrea

Authors
  1. Eleonor Harboure
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  2. José L. Torrea
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  3. Beatriz E. Viviani
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Harboure, E., Torrea, J.L. & Viviani, B.E. A vector-valued approach to tent spaces. J. Anal. Math. 56, 125–140 (1991). https://doi.org/10.1007/BF02820462

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  • DOI: https://doi.org/10.1007/BF02820462

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