关于一类双重伪微分算子的L—有界性

Lp—boundedness of Double-pseudo-differential Operators

R.Coifman 与 Y.Meyer 已经绘出了一类双重伪微分算子的 L^2—有界性,本文先证明单重的 paraproduct 是 Calderon—Zygmund 算子,进而证明这类双重伪微分算子的 L^p—有界性。

R.Coifman and Y.Meyer have given the L^2-boundedness of a kind of double-pseudo-differential operators.In this paper,we show that the paraproduct is Calderon-Zygmund's operator,then we prove the L^p- boundedness of the kind of double-pseudo-differential operators.