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  1. No Access

    Article

    Higher Order Riesz Transforms for Fourier-Bessel Expansions

    In this paper we investigate the Riesz transforms of order d≥1, \({\mathcal{R}}_{\nu}^{d}\) , for Fourier-Bessel expansi...

    Óscar Ciaurri, Luz Roncal in Journal of Fourier Analysis and Applications (2012)

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    Article

    The Poisson Operator for Orthogonal Polynomials in the Multidimensional Ball

    In this paper we define the Poisson operator related to an orthonormal system on the multidimensional ball and we analyze some weighted inequalities for this operator in mixed norm spaces.

    Óscar Ciaurri in Journal of Fourier Analysis and Applications (2013)

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    Article

    A Hardy Inequality for Ultraspherical Expansions with an Application to the Sphere

    We prove a Hardy inequality for ultraspherical expansions by using a proper ground state representation. From this result we deduce some uncertainty principles for this kind of expansions. Our result also impl...

    Alberto Arenas, Óscar Ciaurri… in Journal of Fourier Analysis and Applications (2018)

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    Article

    Hardy’s inequality for the fractional powers of a discrete Laplacian

    We prove a Hardy inequality for fractional powers of a discrete Laplacian, which can be seen as a generalized fractional version of the classical Hardy inequality in Landau (J Lond Math Soc 1:38–39, 1926). Such ...

    Óscar Ciaurri, Luz Roncal in The Journal of Analysis (2018)