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Bilinear pseudo-differential operators on local hardy spaces

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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 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.

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Authors and Affiliations

  1. College of Mathematics and Systems Science, Xinjiang University, Urumqi, 830046, P. R. China

    Jiang Wei Xiao & Yin Sheng Jiang

  2. School of Appied Mathematics, Beijing Normal University Zhuhai, Zhuhai, 519085, P. R. China

    Wen Hua Gao

Authors
  1. Jiang Wei Xiao
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  2. Yin Sheng Jiang
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  3. Wen Hua Gao
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Corresponding author

Correspondence to Yin Sheng Jiang.

Additional information

The second author is supported by National Natural Science Foundation of China (Grant No. 10861010)

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Xiao, J.W., Jiang, Y.S. & Gao, W.H. Bilinear pseudo-differential operators on local hardy spaces. Acta. Math. Sin.-English Ser. 28, 255–266 (2012). https://doi.org/10.1007/s10114-012-0283-0

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  • DOI: https://doi.org/10.1007/s10114-012-0283-0

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