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Singular Brascamp–Lieb: A Survey

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Geometric Aspects of Harmonic Analysis

Part of the book series: Springer INdAM Series ((SINDAMS,volume 45))

Abstract

We present an overview of results on multi-linear singular integrals in the broader context of Brascamp–Lieb inequalities. This elaborates a lecture given at the inspiring conference on Geometric Aspects of Harmonic Analysis at Cortona 2018 in honor of Fulvio Ricci.

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Acknowledgements

This survey was initiated during a delightful stay at the conference Geometric Aspects of Harmonic Analysis in honor of Fulvio Ricci 2018 in Cortona, Italy. The second author acknowledges support by the Deutsche Forschungsgemeinschaft through the Hausdorff Center for Mathematics, DFG-EXC 2047, and the Collaborative Research Center 1060.

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Authors and Affiliations

  1. California Institute of Technology, Pasadena, CA, USA

    Polona Durcik

  2. Mathematisches Institut, Universität Bonn, Bonn, Germany

    Christoph Thiele

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  1. Polona Durcik
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  2. Christoph Thiele
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Correspondence to Christoph Thiele .

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Editors and Affiliations

  1. Dipartimento di Ingegneria Civile, Edile e Ambientale - ICEA, University of Padova, Padova, Italy

    Paolo Ciatti

  2. School of Mathematics, University of Birmingham, Birmingham, UK

    Alessio Martini

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Durcik, P., Thiele, C. (2021). Singular Brascamp–Lieb: A Survey. In: Ciatti, P., Martini, A. (eds) Geometric Aspects of Harmonic Analysis. Springer INdAM Series, vol 45. Springer, Cham. https://doi.org/10.1007/978-3-030-72058-2_9

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