Fiber-wise Calder\'on-Zygmund decomposition and application to a bi-dimensional paraproduct
Classical Analysis and ODEs
2010-11-17 v1
Abstract
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.
Keywords
Cite
@article{arxiv.1011.3614,
title = {Fiber-wise Calder\'on-Zygmund decomposition and application to a bi-dimensional paraproduct},
author = {Frédéric Bernicot},
journal= {arXiv preprint arXiv:1011.3614},
year = {2010}
}
Comments
8 pages