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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.
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참고문헌 (45)
참고문헌 신청
N. Accomazzo / On Bloom type estimates for iterated commutators of fractional integrals / arXiv: 1712.06923
M. F. Atiyah / 1968 / The Index of Elliptic Operators: I / The Annals of Mathematics 87(3):484~530
D. Beltran / 2019 / Control of pseudodifferential operators by maximal functions via weighted inequalities / Trans. Amer. Math. Soc 371(5):3117~3143
D. Beltran / Sparse bounds for pseudo-differential operators / arXiv:1711.02339v2
Arpad Benyi / 2013 / On the Hormander classes of bilinear pseudodifferential operators II / Indiana University Mathematics Journal 62(6):1733~1764
M. F. Atiyah / 1968 / The Index of Elliptic Operators: I / The Annals of Mathematics 87(3):484~530
D. Beltran / 2019 / Control of pseudodifferential operators by maximal functions via weighted inequalities / Trans. Amer. Math. Soc 371(5):3117~3143
D. Beltran / Sparse bounds for pseudo-differential operators / arXiv:1711.02339v2
Arpad Benyi / 2013 / On the Hormander classes of bilinear pseudodifferential operators II / Indiana University Mathematics Journal 62(6):1733~1764
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