Weighted Norm Inequalities for Multilinear Fourier Multipliers with Mixed Norm

Abstract

In this paper, weighted norm inequalities for multilinear Fourier multipliers satisfying Sobolev regularity with mixed norm are discussed. Our result can be understood as a generalization of the result by Fujita and Tomita by using the Lr-based Sobolev space, 1<r≤2 with mixed norm.