Bulletin of the Korean Mathematical Society (대한수학회보)

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A NOTE ON MULTILINEAR PSEUDO-DIFFERENTIAL OPERATORS AND ITERATED COMMUTATORS

  • Wen, Yongming (School of Mathematics and Statistics Minnan Normal University) ;
  • Wu, Huoxiong (School of Mathematical Sciences Xiamen University) ;
  • Xue, Qingying (School of Mathematical Sciences Beijing Normal University Laboratory of Mathematics and Complex Systems Ministry of Education)
  • Received : 2019.05.28
  • Accepted : 2019.07.26
  • Published : 2020.07.31
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Abstract

This paper gives a sparse domination for the iterated commutators of multilinear pseudo-differential operators with the symbol σ belonging to the Hörmander class, and establishes the quantitative bounds of the Bloom type estimates for such commutators. Moreover, the Cp estimates for the corresponding multilinear pseudo-differential operators are also obtained.

Keywords

Acknowledgement

This work is financially supported by the NSFC (Nos. 11771358, 11671039, 11871101) and NSFC-DFG (No. 11761131002).

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