Journal of Fourier Analysis and Applications

, Volume 6, Issue 5, pp 457–466

A littlewood-paley inequality for the Carleson operator

  • Elena Prestini
  • Per Sjölin

DOI: 10.1007/BF02511540

Cite this article as:
Prestini, E. & Sjölin, P. The Journal of Fourier Analysis and Applications (2000) 6: 457. doi:10.1007/BF02511540


The Carleson operator is closely related to the maximal partial sum operator for Fourier series. We study generalizations of this operator in one and several variables.

Math Subject Classifications


Keywords and Phrases

Fourier seriesmaximal partial sum operatormaximal singular integralsLittlewood-Paley inequalityLP estimates

Copyright information

© Birkhäuser Boston 2000

Authors and Affiliations

  • Elena Prestini
    • 1
  • Per Sjölin
    • 2
  1. 1.Dipartimento di MatematicaUniversità di Roma “Tor Vergata”RomaItaly
  2. 2.Department of MathematicsRoyal Institute of TechnologyStockholmSweden