Norm inequalities for higher-order commutators of one-sided oscillatory singular integrals

Author:

Shi Shaoguang,Zhang Lei

Funder

NSF of China

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Discrete Mathematics and Combinatorics,Analysis

Reference35 articles.

1. Ricci, F, Stein, E: Harmonic analysis on nilpotent groups and singular integrals I: oscillatory integrals. J. Funct. Anal. 73, 179-194 (1987)

2. Stein, E: Harmonic Analysis: Real-Variable Methods, Orthogonality, and Oscillatory Integrals. Princeton University Press, Princeton (1993)

3. Lu, S, Zhang, Y: Weighted norm inequality of a class of oscillatory singular operators. Chin. Sci. Bull. 37, 9-13 (1992)

4. Lu, S, Zhang, Y: Criterion on L p $L^{p}$ -boundedness for a class of oscillatory singular integrals with rough kernels. Rev. Mat. Iberoam. 8, 201-219 (1992)

5. Chanillo, S, Christ, M: Weak ( 1 , 1 ) $(1,1)$ bounds for oscillatory integrals. Duke Math. J. 55, 141-155 (1987)

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