Revista Matemática Iberoamericana


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Volume 29, Issue 3, 2013, pp. 829–857
DOI: 10.4171/RMI/742

Published online: 2013-08-04

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

Richard Oberlin[1]

(1) Louisiana State University, Baton Rouge, USA

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of the Walsh-analog of the Carleson–Hunt theorem, where the $L^\infty$ norm defining the Carleson maximal operator has been replaced by an $L^q$ maximal-multiplier-norm.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.

Keywords: Return times theorem, Carleson’s theorem, multipliers, maximal-multipliers, variation-norm

Oberlin Richard: Bounds on the Walsh model for $M^{q,*}$ Carleson and related operators. Rev. Mat. Iberoamericana 29 (2013), 829-857. doi: 10.4171/RMI/742