Uniform estimates for paraproducts and related multilinear multipliers

Frédéric Bernicot

Type: Article

Publication Date: 2009-12-31

Citations: 12

DOI: https://doi.org/10.4171/rmi/589

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 .

Locations

Revista Matemática Iberoamericana - View - PDF
arXiv (Cornell University) - View
Project Euclid (Cornell University) - View - PDF
HAL (Le Centre pour la Communication Scientifique Directe) - View - PDF
DataCite API - View

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+	Singular Integrals and Differentiability Properties of Functions.	1971	Elias M. Stein
+	Classical and modern Fourier analysis	2003	Loukas Grafakos
+	Boundedness of operators on Hardy spaces via atomic decompositions	2005	Marcin Bownik
+	Harmonic Analysis: Real-variable Methods, Orthogonality, and Oscillatory Integrals	2002	Elias M. Stein Timothy S Murphy
+ PDF Chat	Multilinear estimates and fractional integration	1999	Carlos E. Kenig Elias M. Stein
+ PDF Chat	Uniform estimates on paraproducts	2002	Camil Muscalu Terence Tao Christoph Thiele
+ PDF Chat	The Marcinkiewicz multiplier condition for bilinear operators	2001	Loukas Grafakos N. J. Kalton
+ PDF Chat	On commutators of singular integrals and bilinear singular integrals	1975	Ronald R. Coifman Yves Meyer
+ PDF Chat	On the $H^1$--$L^1$ boundedness of operators	2008	Stefano Meda Peter Sjögren Maria Vallarino
+	Uniform estimates for some paraproducts	2008	Xiaochun Li