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

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

2010-11-16

arxiv.org/abs/1011.3614v1

Mathematics

Classical Analysis and ODEs

8 pages

Scientific paper

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

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