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On g-functions for Hermite function expansions

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Summary

We prove weighted Lp-inequalities for the gradient square function associated with the Poisson semigroup in the multi-dimensional Hermite function expansions setting. In the proof a technique of vector valued Calderón-Zygmund operators is used.

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Authors and Affiliations

  1. Instytut Matematyki, Politechnika Wrocławska, Wyb. Wyspiańskiego 27, 50-370 Wrocław, Poland

    Krzysztof Stempak

  2. Departamento de Matemáticas, Universidad Autónoma de Madrid, Ciudad Universitaria de Canto Blanco, 28049 Madrid, España

    José Luis Torrea

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  1. Krzysztof Stempak
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  2. José Luis Torrea
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Stempak, K., Torrea, J. On g-functions for Hermite function expansions. Acta Math Hung 109, 99–125 (2005). https://doi.org/10.1007/s10474-005-0236-5

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  • DOI: https://doi.org/10.1007/s10474-005-0236-5

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