A note on multilinear pseudo-differential operators and iterated commutators
Bull. Korean Math. Soc.
Published online August 20, 2019
Yongming Wen, Huoxiong Wu, and Qingying Xue
School of Mathematical Sciences, Xiamen University, School of Mathematical Sciences, Beijing Normal University
Abstract : This paper gives a sparse domination for the iterated commutators of multilinear pseudo-differential operators with the symbol belonging to the Hormander 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-dierential operator, commutators, sparse operators, weighted BMO, Cp weights
MSC numbers : 47G30, 42B20, 42B25, 46E30
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