A multilinear reverse Hölder inequality with applications to multilinear weighted norm inequalities

摘要

In this note we prove a multilinear version of the reverse H"olderinequality in the theory of Muckenhoupt $A_p$ weights. We give two applicationsof this inequality to the study of multilinear weighted norm inequalities.First, we prove a structure theorem for multilinear $A_{ec{p}}$ weights;second, we give a new sufficient condition for multilinear, two-weight norminequalities for the maximal operator.