85 citations · 176 across the 22 of their papers we have counts for
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Uniform weighted inequalities for the Hankel transform transplantation operator
Óscar Ciaurri
In this paper we present uniform weighted inequalities for the Hankel transform transplantation operator. A weighted vector-valued inequality is also obtained. As a consequence we…
Fractional moments
Óscar Ciaurri
We evaluate the moments of some functions composed with the fractional part of . We name them fractional moments. In particular, we obtain expressions for the fractional momen…
Discrete Harmonic Analysis associated with Jacobi expansions II: the Riesz transform
Alberto Arenas, Óscar Ciaurri, Edgar Labarga
This paper is the continuation of the study on discrete harmonic analysis related to Jacobi expansions initiated in [1]. Considering the operator ,…
A weighted transplantation theorem for Jacobi coefficients
Alberto Arenas, Óscar Ciaurri, Edgar Labarga
We present a transplantation theorem for Jacobi coefficients in weighted spaces. In fact, by using a discrete vector-valued local Calderón-Zygmund theory, which has recently been f…
Maximal estimates for a generalized spherical mean Radon transform acting on radial functions
Óscar Ciaurri, Adam Nowak, Luz Roncal
We study a generalized spherical means operator, viz. generalized spherical mean Radon transform, acting on radial functions. As the main results, we find conditions for the associ…
Discrete harmonic analysis associated with Jacobi expansions I: the heat semigroup
Alberto Arenas, Óscar Ciaurri, Edgar Labarga
In this paper we commence the study of discrete harmonic analysis associated with Jacobi orthogonal polynomials of order . Particularly, we give the solution ,…
A Hardy inequality for ultraspherical expansions with an application to the sphere
Alberto Arenas, Óscar Ciaurri, Edgar Labarga
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 exp…
Two-weight mixed norm estimates for a generalized spherical mean Radon transform acting on radial functions
Óscar Ciaurri, Adam Nowak, Luz Roncal
We investigate a generalized spherical means operator, viz. generalized spherical mean Radon transform, acting on radial functions. We establish an integral representation of this…
Bernoulli-Dunkl and Apostol-Euler-Dunkl polynomials with applications to series involving zeros of Bessel functions
Óscar Ciaurri, Antonio J. Durán, Mario Pérez +1
We introduce Bernoulli-Dunkl and Apostol-Euler-Dunkl polynomials as generalizations of Bernoulli and Apostol-Euler polynomials, where the role of the derivative is now played by th…
Hardy-type inequalities for fractional powers of the Dunkl--Hermite operator
Ó. Ciaurri, L. Roncal, S. Thangavelu
We prove Hardy-type inequalities for a fractional Dunkl--Hermite operator which incidentally give Hardy inequalities for the fractional harmonic oscillator as well. The idea is to…
Harmonic Analysis associated with a discrete Laplacian
Ó. Ciaurri, T. A. Gillespie, L. Roncal +2
It is well-known that the fundamental solution of with for every fixed , is given…
Riesz transforms on compact Riemannian symmetric spaces of rank one
Ó. Ciaurri, L. Roncal, P. R. Stinga
In this paper we prove mixed norm estimates for Riesz transforms related to Laplace--Beltrami operators on compact Riemannian symmetric spaces of rank one. These operators are clos…
The Riesz transform for the harmonic oscillator in spherical coordinates
Ó. Ciaurri, L. Roncal
In this paper we show weighted estimates in mixed norm spaces for the Riesz transform associated with the harmonic oscillator in spherical coordinates. In order to prove the result…
Vector-valued extensions for fractional integrals of Laguerre expansions
Ó. Ciaurri, L. Roncal
We prove some vector-valued inequalities for fractional integrals defined in the context of two different orthonormal systems of Laguerre functions. Our results are based on estima…
Fractional integrals on compact Riemannian symmetric spaces of rank one
O. Ciaurri, L. Roncal, P. R. Stinga
In this paper we study mixed norm boundedness for fractional integrals related to Laplace--Beltrami operators on compact Riemannian symmetric spaces of rank one. The key point is t…