English

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

Classical Analysis and ODEs 2011-10-06 v1

Abstract

We prove an extension of the Walsh-analog of the Carleson-Hunt theorem, where the LL^\infty norm defining the Carleson maximal operator has been replaced by an LqL^q maximal-multiplier-norm. Additionally, we consider certain associated variation-norm estimates.

Keywords

Cite

@article{arxiv.1110.1067,
  title  = {Bounds on the Walsh model for M^{q,*} Carleson and related operators},
  author = {Richard Oberlin},
  journal= {arXiv preprint arXiv:1110.1067},
  year   = {2011}
}