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

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

2011-10-05

arxiv.org/abs/1110.1067v1

Mathematics

Classical Analysis and ODEs

Scientific paper

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the $L^\infty$ norm defining the Carleson maximal operator has been replaced by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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