Bull. Korean Math. Soc. 2020; 57(4): 851-864
Online first article April 20, 2020 Printed July 31, 2020
https://doi.org/10.4134/BKMS.b190532
Copyright © The Korean Mathematical Society.
Yongming Wen, Huoxiong Wu, Qingying Xue
Xiamen University; Xiamen University; Ministry of Education
This paper gives a sparse domination for the iterated commutators of multilinear pseudo-differential operators with the symbol $\sigma$ belonging to the H\"ormander class, and establishes the quantitative bounds of the Bloom type estimates for such commutators. Moreover, the $C_p$ estimates for the corresponding multilinear pseudo-differential operators are also obtained.
Keywords: Multilinear pseudo-differential operator, commutators, sparse operators, weighted $BMO$, $C_p$ weights
MSC numbers: Primary 47G30, 42B20; Secondary 42B25, 46E30
Supported by: This work is financially supported by the NSFC (Nos. 11771358, 11671039, 11871101) and NSFC-DFG (No. 11761131002)
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