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The bi-Carleson operator

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Geometric & Functional Analysis GAFA Aims and scope Submit manuscript

Abstract.

We prove Lp estimates (Theorem 1.3) for the bi-Carleson operator defined below. The methods used are essentially based on the treatment of the Walsh analogue of the operator in the prequel [MTT4] of this paper, but with additional technicalities due to the fact that in the Fourier model one cannot obtain perfect localization in both space and frequency.

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Author notes

  1. C. Muscalu

    Present address: School of Mathematics, IAS, Princeton, NJ, 08540, USA

Authors and Affiliations

  1. Department of Mathematics, Cornell University, Ithaca, NY, 14853, USA

    C. Muscalu

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

    T. Tao & C. Thiele

Authors
  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.

Additional information

Received: September 2004 Revision: February 2005 Accepted: February 2005

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Muscalu, C., Tao, T. & Thiele, C. The bi-Carleson operator. GAFA, Geom. funct. anal. 16, 230–277 (2006). https://doi.org/10.1007/s00039-006-0553-z

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  • DOI: https://doi.org/10.1007/s00039-006-0553-z

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