关于一类多重伪微分算子的L^p－有界性

L￣p Boundedness of a Kind of Multi Pseudo Differential Operators

Ｒ．Ｃｏｉｆｍａｎ和Ｙ．Ｍｅｙｅｒ已经给出了一类多重伪微分算子的Ｌ２－有界性，本文先证明单重与多重的仿积（ｐａｒａｐｒｏｄｕｃｔ）是Ｃａｌｄｅｒｏｎ－Ｚｙｇｍｕｎｄ算子，进而证明双重与多重伪微分算子的Ｌｐ－有界性．

R. Coifman and Y. Meyer have shown the L2 - boundedness of a kind of multi-pseudo - differential operators. In this paper it is proved that the paraproduct and multi - paraproduct are Calderon - Zygmumd operators. The Lp - boundedness of this kind of multi - pseudo - differential operators is shown.