Rescaled extrapolation for vector-valued functions

Journal article (2019)

Authors

Alex Amenta Analysis -

E. Lorist Analysis -

M.C. Veraar Analysis -

Research Group

Analysis () (TU Delft)

DOI: 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

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Published Date

2019

Language

English

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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.

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