Bilinear Pseudo-differential Operators on Local Hardy Spaces  

作　　者：Jiang Wei XIAO Yin Sheng JIANG Wen Hua GAO 

机构地区：[1]College of Mathematics and Systems Science,Xinjiang University,Urumqi 830046,P.R.China [2]School of Appied Mathematics,Beijing Normal University Zhuhai,Zhuhai 519085 P.R.China

出　　处：《Acta Mathematica Sinica,English Series》2012年第2期255-266,共12页数学学报（英文版）

基　　金：supported by National Natural Science Foundation of China(Grant No.10861010)

摘　　要：In this paper, the authors consider a class of bilinear pseudo-differential operators with symbols of order 0 and type （1, 0） in the sense of HSrmander and use the atomic decompositions of local Hardy spaces to establish the boundedness of the bilinear pseudo-differential operators and the bilinear singular integral operators on the product of local Hardy spaces.In this paper, the authors consider a class of bilinear pseudo-differential operators with symbols of order 0 and type （1, 0） in the sense of HSrmander and use the atomic decompositions of local Hardy spaces to establish the boundedness of the bilinear pseudo-differential operators and the bilinear singular integral operators on the product of local Hardy spaces.

关 键 词：Bilinear pseudo-differential operators local Hardy spaces singular integrals 

分 类 号：O175.3[理学—数学]