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Summer 2012 Fiber-wise Calderón–Zygmund decomposition and application to a bi-dimensional paraproduct
Frédéric Bernicot
Illinois J. Math. 56(2): 415-422 (Summer 2012). DOI: 10.1215/ijm/1385129956

Abstract

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.

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Frédéric Bernicot. "Fiber-wise Calderón–Zygmund decomposition and application to a bi-dimensional paraproduct." Illinois J. Math. 56 (2) 415 - 422, Summer 2012. https://doi.org/10.1215/ijm/1385129956

Information

Published: Summer 2012
First available in Project Euclid: 22 November 2013

zbMATH: 1290.42032
MathSciNet: MR3161332
Digital Object Identifier: 10.1215/ijm/1385129956

Subjects:
Primary: 42B15

Rights: Copyright © 2012 University of Illinois at Urbana-Champaign

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Vol.56 • No. 2 • Summer 2012
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