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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...
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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.
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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...
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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 ...