N ov 2 00 4 MULTI - PARAMETER PARAPRODUCTS
نویسنده
چکیده
We prove that the classical Coifman-Meyer theorem holds on any polydisc T d of arbitrary dimension d ≥ 1.
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ar X iv : m at h . C A / 0 31 03 67 v 1 2 3 O ct 2 00 3 BI - PARAMETER PARAPRODUCTS
In the first part of the paper we prove a bi-parameter version of a well known multilinear theorem of Coifman and Meyer. As a consequence, we generalize the Kato-Ponce inequality in nonlinear PDE. Then, we show that the double bilinear Hilbert transform does not satisfy any L estimates.
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