Open Access
June, 2010 End-point estimates and multi-parameter paraproducts on higher dimensional tori
John T. Workman
Rev. Mat. Iberoamericana 26(2): 591-610 (June, 2010).

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.

Citation

Download Citation

John T. Workman . "End-point estimates and multi-parameter paraproducts on higher dimensional tori." Rev. Mat. Iberoamericana 26 (2) 591 - 610, June, 2010.

Information

Published: June, 2010
First available in Project Euclid: 4 June 2010

MathSciNet: MR2677008
zbMATH: 1201.42006

Subjects:
Primary: 42B15

Keywords: paraproduct , polydisc

Rights: Copyright © 2010 Departamento de Matemáticas, Universidad Autónoma de Madrid

Vol.26 • No. 2 • June, 2010
Back to Top