A note on multilinear pseudo-differential operators and iterated commutators

A note on multilinear pseudo-differential operators and iterated commutators

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...

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Veröffentlicht in:Taehan Suhakhoe hoebo 2020, 57(4), , pp.851-864
Hauptverfasser: Yongming Wen, Huoxiong Wu, Qingying Xue
Format: Artikel
Sprache:eng
Schlagworte:
수학
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Zusammenfassung: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. KCI Citation Count: 1
ISSN:1015-8634
2234-3016
DOI:10.4134/BKMS.b190532