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arXiv · 1110.1067

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

Richard Oberlin
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Abstract

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of the Walsh-analog of the Carleson-Hunt theorem, where the $L^\infty$ norm defining the Carleson maximal operator has been replaced by an $L^q$ maximal-multiplier-norm.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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Richard Oberlin. 2011-10-05. Bounds on the Walsh model for M^{q,*} Carleson and related operators. https://arxiv.org/abs/1110.1067

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