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A Discrete Model for the Bi-Carleson Operator

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Abstract.

We prove Lp estimates for the Walsh model of the maximal bi-Carleson operator defined below. The corresponding estimates for the Fourier model will be obtained in the sequel [MTT4] of this paper.

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Authors and Affiliations

  1. Department of Mathematics, UCLA, Los Angeles, CA, 90095-1555, USA

    C. Muscalu, T. Tao & C. Thiele

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  1. C. Muscalu
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  2. T. Tao
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  3. C. Thiele
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Correspondence to C. Muscalu.

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Muscalu, C., Tao, T. & Thiele, C. A Discrete Model for the Bi-Carleson Operator. GAFA, Geom. funct. anal. 12, 1324–1364 (2002). https://doi.org/10.1007/s00039-002-1324-0

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  • DOI: https://doi.org/10.1007/s00039-002-1324-0

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