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math.CASep 21, 2011
5
citations (OpenAlex)
authors
  • Javier Parcet
  • Fernando Soria
  • Quanhua Xu
institutions
  • Consejo Superior de Investigaciones Científicas
  • Institute of Mathematical Sciences
  • Instituto de Investigación en Ciencias de la Alimentación
  • Universidad Autónoma de Madrid
  • Universidad Carlos III de Madrid
  • Université de Franche-Comté
  • Wuhan University
arXiv abstractPDF
paper

On the growth of vector-valued Fourier series

arXiv:1109.4313

Abstract

We prove the 'little Carleson theorem' on the growth of Fourier series for functions taking values in a UMD Banach space.

Cited by in corpus (3)

  • A variation norm Carleson theorem for vector-valued Walsh-Fourier series
  • The Vector Valued Quartile Operator
  • Pointwise convergence of Walsh--Fourier series of vector-valued functions
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