Bounds on the Walsh model for $M^{q,*}$ Carleson and related operators

@article{Oberlin2011BoundsOT,
  title={Bounds on the Walsh model for \$M^\{q,*\}\$ Carleson and related operators},
  author={Richard Oberlin},
  journal={Revista Matematica Iberoamericana},
  year={2011},
  volume={29},
  pages={829-857}
}
  • R. Oberlin
  • Published 5 October 2011
  • Mathematics
  • Revista Matematica Iberoamericana
We prove an extension of the Walsh-analog of the Carleson-Hunt theorem, where the $L^\infty$ norm defining the Carleson maximal operator has been replaced by an $L^q$ maximal-multiplier-norm. Additionally, we consider certain associated variation-norm estimates. 

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