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Bilinear pseudo-differential operators on local hardy spaces
Authors:Jiang Wei Xiao  Yin Sheng Jiang  Wen Hua Gao
Institution:(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
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 H?rmander 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.
Keywords:Bilinear pseudo-differential operators  local Hardy spaces  singular integrals
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