End-point estimates and multi-parameter paraproducts on higher dimensional tori

John T. Workman

Type: Article

Publication Date: 2010-08-31

Citations: 2

DOI: https://doi.org/10.4171/rmi/610

Abstract

Analogues of multi-parameter multiplier operators on \mathbb{R}^d are defined on the torus \mathbb{T}^d . It is shown that these operators satisfy the classical Coifman-Meyer theorem. In addition, L(\log L)^n end-point estimates are proved.

Locations

Revista Matemática Iberoamericana - View - PDF
arXiv (Cornell University) - View - PDF
eCommons (Cornell University) - View - PDF
Project Euclid (Cornell University) - View - PDF

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Works Cited by This (21)

Action	Title	Year	Authors
+	Interpolation of Operators	1988	Curtis D. Bennett M Sharpley
+	Weighted Norm Inequalities and Related Topics	1985	José Garcı́a-Cuerva J.-L. Rubio de Francia
+	Introduction to Fourier Analysis on Euclidean Spaces.	1971	Elias M. Stein Guido Weiss
+	Real and Complex Analysis.	1987	G. A. Garreau Walter Rudin
+	Theorems on Fourier Series and Power Series (II)<sup>†</sup>	1937	J. E. Littlewood R. E. A. C. Paley
+	Theorems on Fourier Series and Power Series	1931	J. E. Littlewood R. E. A. C. Paley
+ PDF Chat	Multilinear estimates and fractional integration	1999	Carlos E. Kenig Elias M. Stein
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+ PDF Chat	Polynomial growth estimates for multilinear singular integral operators	1987	Michael Christ Jean-Lin Journé
+ PDF Chat	On the functions of Littlewood-Paley, Lusin, and Marcinkiewicz	1958	E. M. Stein