科研之友
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摘要
This paper gives a criterion on the weighted norm estimates of the oscillatory and variation operators for the commutators of Calderon-Zygmund singular integrals in dimension 1. As applications, the weighted L-p-boundedness of the oscillation operators and the rho-variation operators for commutators of the Hilbert transform and the Hermitian Riesz transform are obtained. In addition, the corresponding results for the lambda-jump operators and the numbers of up-crossings associated with these operators are also given.
- 出版日期2015-1
- 单位厦门大学
