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Lusin type and cotype for Laguerre g-functions

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Abstract

We characterize Lusin type and cotype for a Banach space in terms of the L p-boundedness of Littlewood-Paley g-functions associated with the Hermite and Laguerre expansions.

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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, Juan C. Fariña, Lourdes Rodríguez-Mesa & Alejandro Sanabria

  2. Deopartamento de Matemáticas and ICMAT-CSIC-UAM-UCM-UC3M Facultad de Ciencias, Universidad Autónoma de Madrid, 28049, Madrid, Spain

    José L. Torrea

Authors
  1. Jorge J. Betancor
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  2. Juan C. Fariña
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  3. Lourdes Rodríguez-Mesa
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  4. Alejandro Sanabria
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  5. José L. Torrea
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Corresponding author

Correspondence to Jorge J. Betancor.

Additional information

This paper is partially supported by MTM2004/05878, MTM2005-08350-C03-01 and MTM2008-06621-C02-01. The third and fourth authors are also partially supported by grant PI042004/067.

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Betancor, J.J., Fariña, J.C., Rodríguez-Mesa, L. et al. Lusin type and cotype for Laguerre g-functions. Isr. J. Math. 182, 1–30 (2011). https://doi.org/10.1007/s11856-011-0021-9

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  • DOI: https://doi.org/10.1007/s11856-011-0021-9

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