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On a discrete bilinear singular operator

Dong Dong

Classical Analysis and ODEs mathscidoc:1910.43453

Comptes Rendus Mathematique, 355, (5), 538-542, 2017.5

We prove that for a large class of functions P and Q, the discrete bilinear operator T P, Q (f, g)(n)= m Z{0} f (n P (m)) g (n Q (m)) 1 m is bounded from l 2 l 2 into l 1+ , for any (0, 1].

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@inproceedings{dong2017on,
  title={On a discrete bilinear singular operator},
  author={Dong Dong},
  url={http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20191020175343907547982},
  booktitle={Comptes Rendus Mathematique},
  volume={355},
  number={5},
  pages={538-542},
  year={2017},
}

Dong Dong. On a discrete bilinear singular operator. 2017. Vol. 355. In Comptes Rendus Mathematique. pp.538-542. http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20191020175343907547982.

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