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On the bi-carleson operator I. The Walsh case

Camil Muscalu·Terence Tao·Christoph Thiele
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Abstract

We prove $L^p$ estimates for the Walsh model of the maximal bi-Carleson operator (which is a hybrid of the bilinear Hilbert transform and the Carleson maximal operator which appears naturally in the eigenfunction problem for one-dimensional Schrodinger operators). The corresponding estimates for the Fourier model will be obtained in the sequel of this paper.

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Camil Muscalu, Terence Tao, Christoph Thiele. 2002-01-08. On the bi-carleson operator I. The Walsh case. https://arxiv.org/abs/math/0201060

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