We first provide a weighted Fourier multiplier theorem for multilinear operators which extends Theorem 1.2 in Fujita and Tomita (2012) by using -based Sobolev spaces (). Then, by using a different method, we obtain a result parallel to Theorem 6.2 which is an improvement of Theorem 1.2 under assumption (i) in Fujita and Tomita (2012).
"Some Weighted Estimates for Multilinear Fourier Multiplier Operators." Abstr. Appl. Anal. 2013 1 - 10, 2013. https://doi.org/10.1155/2013/987205