一个双线性伪微分
A bilinear pseudodifferential calculus
摘要：
在本文中，我们感兴趣的是双线性伪微分的构造。我们定义了一些符号类，其中包含那些Coifman-Meyer。这些新类使我们能够考虑与双线性希尔伯特变换密切相关的运算符。给出了我们的双线性算子在索伯列夫空间上的作用的描述。这些类通过我们将要介绍的换位和组合操作也有一个“很好”的行为。
英文摘要：
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.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
