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Pré-Publication, Document De Travail Année : 2008

A bilinear pseudodifferential calculus.

Frederic Bernicot

Résumé

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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Dates et versions

hal-00232882 , version 1 (02-02-2008)
hal-00232882 , version 2 (20-02-2008)

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Frederic Bernicot. A bilinear pseudodifferential calculus.. 2008. ⟨hal-00232882v1⟩
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