Acta mathematica scientia,Series A ›› 2019, Vol. 39 ›› Issue (2): 253-263.

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A Quantitative Weighted Estimate for Bilinear Fourier Multiplier Operators

Aiwen Sun*(),Meng Qu,Min Wang   

  1. School of Mathematics and Statistics, Anhui Normal University, Anhui Wuhu 241003
  • Received:2017-12-03 Online:2019-04-26 Published:2019-05-05
  • Contact: Aiwen Sun E-mail:sunaiwen@mail.ahnu.edu.cn
  • Supported by:
    the NSFC(11471033);the University NSR Project of Anhui Province(KJ2017ZD27);the Research Culture Funds of Anhui Normal University(2018XJJ93)

Abstract:

In this paper, we obtain the quantitative estimate with multiple-weight for bilinear Fourier multiplier operator, by dominating the bilinear Fourier multiplier operator by sparse operator, and establishing the weighted estimate for sparse operator. It improves the result in[1].

Key words: Bilinear Fourier multiplier, Multiple-weight, Bilinear singular integral, Sparse operator

CLC Number: 

  • O174.2
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