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Oscillation and variation inequalities for the multilinear singular integrals related to Lipschitz functions

Oscillation and variation inequalities for the multilinear singular integrals related to Lipschitz functions

The main purpose of this paper is to establish the weighted $(L^{p},L^{q})$ inequalities of the oscillation and variation operators for the multilinear Calderón-Zygmund singular integral with a Lipschitz function.