Uniform estimates for paraproducts and related multilinear multipliers
Rev. Mat. Iberoamericana, Tome 25 (2009) no. 1, p. 1055-1088 / Harvested from Project Euclid
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In this paper, we prove some uniform estimates between Lebesgue and Hardy spaces for operators closely related to the multilinear paraproducts on $\mathbb{R}^d$. We are looking for uniformity with respect to parameters, which allows us to disturb the geometry and the metric on $\mathbb{R}^d$.
Publié le : 2009-06-15
Classification:  paraproducts,  uniform estimate,  multilinear operators,  Littlewood-Paley theory,  Calderón-Zygmund decomposition,  42B15,  42B20,  42B25 
@article{1257258101,
     author = {Bernicot
,  
Fr\'ed\'eric},
     title = {Uniform estimates for paraproducts and related multilinear multipliers},
     journal = {Rev. Mat. Iberoamericana},
     volume = {25},
     number = {1},
     year = {2009},
     pages = { 1055-1088},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1257258101}
}

Bernicot
,  
Frédéric. Uniform estimates for paraproducts and related multilinear multipliers. Rev. Mat. Iberoamericana, Tome 25 (2009) no. 1, pp.  1055-1088. http://gdmltest.u-ga.fr/item/1257258101/