Rescaled extrapolation for vector-valued functions

Journal article (2019)

Authors

Alex Amenta Analysis - EEMCS
E. Lorist Analysis - EEMCS
M.C. Veraar Analysis - EEMCS
Research Group
Analysis (EEMCS) (TU Delft)
Copyright: © 2019 Alex Amenta, E. Lorist, M.C. Veraar
DOI
help_outline
https://doi.org/10.5565/PUBLMAT6311905
Extrapolation Fourier multipliers Muckenhoupt weights UMD Banach function spaces Hardy-Littlewood maximal function Littlewood-Paley-Rubio de Francia inequalities P-convexity Variational Carleson operator
More Info
expand_more

Published Date

2019

Language

English

Reuse Rights

Other than for strictly personal use, it is not permitted to download, forward or distribute the text or part of it, without the consent of the author(s) and/or copyright holder(s), unless the work is under an open content license such as Creative Commons.

Faculty

Electrical Engineering, Mathematics and Computer Science

Department

Delft Institute of Applied Mathematics

Research Group

Analysis

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.