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Power-type cancellation for the simplex Hilbert transform

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Abstract

We prove Lp bounds for the truncated simplex Hilbert transform which grow with a power less than one of the truncation range in the logarithmic scale.

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Author information

Authors and Affiliations

  1. Mathematisches Institut, Universität Bonn, Endenicher Allee 60, 53115, Bonn, Germany

    Polona Durcik & Christoph Thiele

  2. Department of Mathematics, Faculty of Science, University of Zagreb, Bijenička Cesta 30, 10000, Zagreb, Croatia

    Vjekoslav Kovač

Authors
  1. Polona Durcik
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  2. Vjekoslav Kovač
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  3. Christoph Thiele
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Corresponding author

Correspondence to Polona Durcik.

Additional information

P. D. and C. T. are supported by the Hausdorff Center for Mathematics.

V. K. is supported in part by the Croatian Science Foundation under the project 3526.

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Durcik, P., Kovač, V. & Thiele, C. Power-type cancellation for the simplex Hilbert transform. JAMA 139, 67–82 (2019). https://doi.org/10.1007/s11854-019-0052-4

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  • DOI: https://doi.org/10.1007/s11854-019-0052-4

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