Illinois Journal of Mathematics

Fiber-wise Calderón–Zygmund decomposition and application to a bi-dimensional paraproduct

Frédéric Bernicot

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We are interested in a new kind of bi-dimensional bilinear paraproducts (appearing in (Amer. J. Math. 132 (2010) 201–256)), which do not fit into the setting of bilinear Calderón–Zygmund operators. In this paper, we propose a fiber-wise Calderón–Zygmund decomposition, which is specially adapted to this kind of bi-dimensional paraproduct.

Article information

Illinois J. Math., Volume 56, Number 2 (2012), 415-422.

First available in Project Euclid: 22 November 2013

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Zentralblatt MATH identifier

Primary: 42B15: Multipliers


Bernicot, Frédéric. Fiber-wise Calderón–Zygmund decomposition and application to a bi-dimensional paraproduct. Illinois J. Math. 56 (2012), no. 2, 415--422. doi:10.1215/ijm/1385129956.

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