A bilinear pseudodifferential calculus

Details A bilinear pseudodifferential calculus A bilinear pseudodifferential calculus

2008-02-04

arxiv.org/abs/0802.0437v2

Mathematics

Classical Analysis and ODEs

28 pages

Scientific paper

In this paper, we are interested in the construction of a bilinear pseudodifferential calculus. We define some symbolic classes which contains those of Coifman-Meyer. These new classes allow us to consider operators closely related to the bilinear Hilbert transform. We give a description of the action of our bilinear operators on Sobolev spaces. These classes also have a ``nice'' behavior through the transposition and the composition operations that we will present.

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