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

Abstract

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

Keywords

• oscillation operator
• variation operator
• multilinear operator
• Lipschitz function