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arXiv · 1208.6346

Weighted norm inequalities for multilinear singular integral operators and applications

Guoen Hu·Chin-Cheng Lin
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Abstract

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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Guoen Hu, Chin-Cheng Lin. 2012-08-31. Weighted norm inequalities for multilinear singular integral operators and applications. https://arxiv.org/abs/1208.6346

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