Author

Amenta, Alex

Lorist, Emiel

Veraar, Mark

Publication date

2019

Abstract

The authors are supported by the VIDI subsidy 639.032.427 of the Netherlands Organisation for Scientific Research (NWO).


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.

Document Type

Article

Language

English

Subjects and keywords

Extrapolation; Muckenhoupt weights; UMD; Banach function spaces; P-convexity; Hardy-littlewood maximal function; Fourier multipliers; Variational carleson operator; Littlewood-paley-rubio de francia inequalities

Publisher

 

Related items

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Publicacions matemàtiques ; Vol. 63 Núm. 1 (2019), p. 155-182

Rights

open access

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