• Title/Summary/Keyword: Multilinear pseudo-differential operator

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A NOTE ON MULTILINEAR PSEUDO-DIFFERENTIAL OPERATORS AND ITERATED COMMUTATORS

  • Wen, Yongming;Wu, Huoxiong;Xue, Qingying
    • Bulletin of the Korean Mathematical Society
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    • v.57 no.4
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    • pp.851-864
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    • 2020
  • 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.