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\({L^p}\)-Boundedness of the Littlewood–Paley \({g}\)-Function Associated with the Spherical Mean Operator for \({1< p < +\infty}\)

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Abstract

We prove the \({L^p}\)-boundedness of the Littlewood–Paley g-function associated with the spherical mean operator for \({p\in]1,+\infty[}\).

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Authors and Affiliations

  1. Departement de mathmatiques, Facult des sciences de Tunis, Campus universitaire El Manar, 2092, Tunis, Tunisia

    A. Hammami

  2. Departement de mathmatiques, Institut prparatoire aux études d’ingnieurs El Manar Campus universitaire El Manar, 2092, Tunis, Tunisia

    S. Omri

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  1. A. Hammami
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  2. S. Omri
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Correspondence to S. Omri.

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Hammami, A., Omri, S. \({L^p}\)-Boundedness of the Littlewood–Paley \({g}\)-Function Associated with the Spherical Mean Operator for \({1< p < +\infty}\) . Mediterr. J. Math. 13, 4333–4352 (2016). https://doi.org/10.1007/s00009-016-0748-y

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  • DOI: https://doi.org/10.1007/s00009-016-0748-y

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