Uniform estimates for paraproducts and related multilinear multipliers

2008/06/03 by Frederic Bernicot, Bernicot, Frederic
Mathematics · #42B15 #42B20 #42B25 #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Functional Analysis (math.FA) #math.CA #math.FA #msc:42B15 #msc:42B20 #msc:42B25

paper · pdf · doi:10.48550/arxiv.0806.0459

arxiv created 2008/06/03 · arxiv updated 2009/12/01

Abstract

In this paper, we prove some uniform estimates between Lebesgue and Hardy spaces for operators closely related to the multilinear paraproducts on R^d. We are looking for uniformity with respect to parameters, which allow us to disturb the geometry and the metric on R^d.

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