Weighted norm inequalities for multilinear singular integral operators and applications

Abstract

In this paper, weighted norm inequalities with $A_p$ weights are established for the multilinear singular integral operators whose kernels satisfy $L^{r^{\prime }}$-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 for the multilinear Fourier multiplier as well.

21 pages

Cited by in corpus (1)

• A counterexample to weighted estimates for multilinear Fourier multipliers with Sobolev regularity