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http://dx.doi.org/10.4134/BKMS.b190532

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)
Publication Information
Bulletin of the Korean Mathematical Society / v.57, no.4, 2020 , pp. 851-864 More about this Journal
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
Multilinear pseudo-differential operator; commutators; sparse operators; weighted BMO; $C_p$ weights;
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