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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
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 ,…