English

On the growth of vector-valued Fourier series

Classical Analysis and ODEs 2011-09-22 v2 Functional Analysis

Abstract

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

Keywords

Cite

@article{arxiv.1109.4313,
  title  = {On the growth of vector-valued Fourier series},
  author = {Javier Parcet and Fernando Soria and Quanhua Xu},
  journal= {arXiv preprint arXiv:1109.4313},
  year   = {2011}
}