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