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Area Littlewood–Paley Functions Associated with Hermite and Laguerre Operators

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Abstract

In this paper we study L p—boundedness properties for area Littlewood–Paley functions associated with heat semigroups for Hermite and Laguerre operators.

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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), España

    Jorge J. Betancor & Lourdes Rodríguez-Mesa

  2. Departamento de Matemática, Facultad de Ciencias Exactas y Naturales, Universidad Nacional de Mar del Plata, Funes 3350, 7600, Mar del Plata, Argentina

    Sandra M. Molina

Authors
  1. Jorge J. Betancor
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  2. Sandra M. Molina
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  3. Lourdes Rodríguez-Mesa
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Correspondence to Lourdes Rodríguez-Mesa.

Additional information

This paper is partially supported by MTM2007/65609.

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Betancor, J.J., Molina, S.M. & Rodríguez-Mesa, L. Area Littlewood–Paley Functions Associated with Hermite and Laguerre Operators. Potential Anal 34, 345–369 (2011). https://doi.org/10.1007/s11118-010-9197-6

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  • DOI: https://doi.org/10.1007/s11118-010-9197-6

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