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Weighted norm inequalities for multilinear singular integral operators and applications

Weighted norm inequalities for multilinear singular integral operators and applications

In this paper, weighted norm inequalities with A p weights are established for the multilinear singular integral operators whose kernels satisfy certain L r′ -Hörmander 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 …