We prove an extension of the Walsh-analog of the Carleson–Hunt theorem, where the norm defining the Carleson maximal operator has been replaced by an maximal-multiplier-norm. Additionally, we consider certain associated variation-norm estimates.
Cite this article
Richard Oberlin, Bounds on the Walsh model for Carleson and related operators. Rev. Mat. Iberoam. 29 (2013), no. 3, pp. 829–857DOI 10.4171/RMI/742