J4 ›› 2012, Vol. 47 ›› Issue (4): 80-83.
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DU Hong-shan, ZHANG Lei*
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Abstract:
The boundedness of commutators formed by oscillatory integral operators and Lipschitz functions is established. A Lipschitz characterization of commutators of oscillatory integral operators with smooth C-Z Kernel is given. Also, the boundedness of commutators formed by oscillatory integral operators with standard C-Z Kernel and Lipschitz functions is obtained.
Key words: oscillatory integral operator; commutator; Lipschitz function; Calderon-Zygmund kernel
DU Hong-shan, ZHANG Lei*. Lipschitz estimates for commutators of oscillatory integral operators[J].J4, 2012, 47(4): 80-83.
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