Weighted norm inequalities for multilinear singular integral operators and applications
Abstract
In this paper, weighted norm inequalities with Ap weights are established for the multilinear singular integral operators whose kernels satisfy Lr'-H\"ormander regularity condition. As applications, we recover a weighted estimate for the multilinear Fourier multiplier obtained by Fujita and Tomita, and obtain several new weighted estimates for the multilinear Fourier multiplier as well.
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