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math.CA2018
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…
math.CA2018★ 1 cited
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…
math.CA2018
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 ,…