Rescaled extrapolation for vector-valued functions
Functional Analysis
2019-08-08 v4 Classical Analysis and ODEs
Abstract
We extend Rubio de Francia's extrapolation theorem for functions valued in UMD Banach function spaces, leading to short proofs of some new and known results. In particular we prove Littlewood-Paley-Rubio de Francia-type estimates and boundedness of variational Carleson operators for Banach function spaces with UMD concavifications.
Cite
@article{arxiv.1703.06044,
title = {Rescaled extrapolation for vector-valued functions},
author = {Alex Amenta and Emiel Lorist and Mark Veraar},
journal= {arXiv preprint arXiv:1703.06044},
year = {2019}
}
Comments
Assumption on well-definedness and strong measurability added to main theorems. Minor modifications. To appear in Publicacions Matematiques