Multi-parameter paraproducts

descriptionPublicationkeyboard_double_arrow_right Article , Preprint , Other literature type 31 Dec 2006Embargo end date: 01 Nov 2004Publisher:European Mathematical Society - EMS - Publishing House GmbHJournal:Revista Matemática Iberoamericana, volume 22, pages 963-976 (issn: 0213-2230, eissn: 2235-0616,

Copyright policy )Funded by:NSF | Time-Frequency Analysis a..., NSF | CAREER: Time-Frequency An...

Authors: Camil Muscalu; Jill Pipher; Terence Tao; Christoph Thiele;

doi: 10.4171/rmi/480 , 10.48550/arxiv.math/0411607

arXiv: math/0411607

Multi-parameter paraproducts

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Abstract

We prove that the classical Coifman-Meyer theorem holds on any polydisc \mathbf{T}^d of arbitrary dimension d\geq 1 .

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Keywords

multilinear Fourier multiplier, Mathematics - Classical Analysis and ODEs, polydisc, paraproduct, Classical Analysis and ODEs (math.CA), FOS: Mathematics, multiplier, Multipliers for harmonic analysis in several variables, 42B15

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