Rescaled extrapolation for vector-valued functions

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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.

Original languageEnglish
Pages (from-to)155-182
Number of pages28
JournalPublicacions Matematiques
Issue number1
Publication statusPublished - 2019


  • Banach function spaces
  • Extrapolation
  • Fourier multipliers
  • Hardy-Littlewood maximal function
  • Littlewood-Paley-Rubio de Francia inequalities
  • Muckenhoupt weights
  • P-convexity
  • UMD
  • Variational Carleson operator


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