85 citations · 176 across the 22 of their papers we have counts for
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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…
A -linear analogue of the plane wave expansion
Luís Daniel Abreu, Óscar Ciaurri, Juan Luis Varona
We obtain a -linear analogue of Gegenbauer's expansion of the plane wave. It is expanded in terms of the little -Gegenbauer polynomials and the \textit{third} Jackson -Bes…
A simple computation of by using Bernoulli polynomials and a telescoping series
Ó. Ciaurri, L. M. Navas, F. J. Ruiz +1
We present a new proof of Euler's formulas for , where , which uses only the defining properties of the Bernoulli polynomials, obtaining the value of …
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…