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Bilinear Calderón–Zygmund Operators

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Excursions in Harmonic Analysis, Volume 2

Part of the book series: Applied and Numerical Harmonic Analysis ((ANHA))

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Abstract

This chapter is based on the presentation “Generalized bilinear Calderón –Zygmund operators and applications” delivered by the author during the 2008 February Fourier Talks at the Norbert Wiener Center for Harmonic Analysis and Applications, Department of Mathematics, University of Maryland, College Park, on February 21st. In turn, that presentation was based on material from the article “Weighted norm inequalities for paraproducts and bilinear pseudodifferential operators with mild regularity,” J. Fourier Anal. Appl. 15 (2), (2009), 218–261, by Virginia Naibo and the author. This chapter also surveys some more recent results concerning the symbolic calculus and mapping properties of bilinear pseudo-differential operators.

The author would like to thank Professor John Benedetto for his inspiration and constant support as well as the organizers of the FFT for their kind invitation and hospitality.

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Acknowledgment

Author supported by the NSF under grant DMS 0901587.

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Authors and Affiliations

  1. Department of Mathematics, Kansas State University, 138 Cardwell Hall, Manhattan, KS, 66506, USA

    Diego Maldonado

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  1. Diego Maldonado
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Correspondence to Diego Maldonado .

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Editors and Affiliations

  1. , Department of Mathematics, University of Maryland, Norbert Wiener Center, College Park, 20742-0001, Maryland, USA

    Travis D. Andrews

  2. Norbert Wiener Center, Department of Mathematics, University of Maryland, College Park, 20742, Maryland, USA

    Radu Balan

  3. Department of Mathematics, University of Maryland, College Park, 20742-4015, Maryland, USA

    John J. Benedetto

  4. Department of Mathematics, University of Maryland, College Park, 20742-4015, Maryland, USA

    Wojciech Czaja

  5. , Department of Mathematics, University of Maryland, College Park, 20742, Maryland, USA

    Kasso A. Okoudjou

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Maldonado, D. (2013). Bilinear Calderón–Zygmund Operators. In: Andrews, T., Balan, R., Benedetto, J., Czaja, W., Okoudjou, K. (eds) Excursions in Harmonic Analysis, Volume 2. Applied and Numerical Harmonic Analysis. Birkhäuser, Boston. https://doi.org/10.1007/978-0-8176-8379-5_14

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