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arXiv 2002-01-08 0 views

On the bi-carleson operator I. The Walsh case

Muscalu, Camil · Tao, Terence · Thiele, Christoph

Original · EN

We prove Lᵖ 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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