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Article Dans Une Revue Illinois Journal of Mathematics Année : 2012

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

Frédéric Bernicot

Résumé

We are interested in a new kind of bi-dimensional bilinear paraproducts (appearing in [6]), which do not fit into the setting of bilinear Calderon-Zygmund operators. In this paper we propose a fiber-wise Calderon-Zygmund decomposition, which is specially adapted to this kind of bi-dimensional paraproduct.

Dates et versions

hal-00564538 , version 1 (09-02-2011)

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Frédéric Bernicot. Fiber-wise Calderon-Zygmund decomposition and application to a bi-dimensional paraproduct. Illinois Journal of Mathematics, 2012, 56 (2), pp.415-422. ⟨10.1215/ijm/1385129956⟩. ⟨hal-00564538⟩
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