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arXiv · 1812.08422

A weighted transplantation theorem for Jacobi coefficients

Alberto Arenas·Óscar Ciaurri·Edgar Labarga
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Abstract

We present a transplantation theorem for Jacobi coefficients in weighted spaces. In fact, by using a discrete vector-valued local Calder\'{o}n-Zygmund theory, which has recently been furnished, we prove the boundedness of transplantation operators from $\ell^p(\mathbb{N},w)$ into itself, where $w$ is a weight in the discrete Muckenhoupt class $A_{p}(\mathbb{N})$. Moreover, we obtain weighted weak $(1,1)$ estimates for those operators.

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Alberto Arenas, Óscar Ciaurri, Edgar Labarga. 2018-12-20. A weighted transplantation theorem for Jacobi coefficients. https://arxiv.org/abs/1812.08422

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