Bilinear pseudo-differential operators on local hardy spaces

Authors
Citation
Xiao, Jiang Wei, Bilinear pseudo-differential operators on local hardy spaces, Acta mathematica Sinica. English series (Print) , 28(2), 2012, pp. 255-266
ISSN journal
14398516
Volume
28
Issue
2
Year of publication
2012
Pages
255 - 266
Database
ACNP
SICI code
Abstract
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 Hörmander 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.