Bilinear Pseudo-differential Operators on 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...

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Veröffentlicht in:	Acta mathematica Sinica. English series 2012-02, Vol.28 (2), p.255-266
Hauptverfasser:	Xiao, Jiang Wei, Jiang, Yin Sheng, Gao, Wen Hua
Format:	Artikel
Sprache:	eng
Schlagworte:	Applied mathematics Decomposition Fourier transforms Integrals Mathematical functions Mathematics Mathematics and Statistics Operators Studies Symbols 伪微分算子原子分解双线性奇异积分算子局部Hardy空间差分算子有界
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Zusammenfassung:	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.
ISSN:	1439-8516 1439-7617
DOI:	10.1007/s10114-012-0283-0