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arXiv:1208.6346 [math.FA]AbstractReferencesReviewsResources

Weighted norm inequalities for multilinear singular integral operators and applications

Guoen Hu, Chin-Cheng Lin

Published 2012-08-31Version 1

In this paper, weighted norm inequalities with $A_p$ weights are established for the multilinear singular integral operators whose kernels satisfy $L^{r'}$-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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