Uniform estimates for paraproducts and related multilinear multipliers
Frédéric Bernicot
Source: Rev. Mat. Iberoamericana Volume 25, Number 3 (2009), 1055-1088.
Abstract
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 $\mathbb{R}^d$.
Primary Subjects: 42B15, 42B20, 42B25
Keywords: paraproducts; uniform estimate; multilinear operators; Littlewood-Paley theory; Calderón-Zygmund decomposition
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Links and Identifiers
Permanent link to this document: http://projecteuclid.org/euclid.rmi/1257258101
Zentralblatt MATH identifier:
05663370
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