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

Author:

Cruz-Uribe David1,Moen Kabe1

Affiliation:

1. Department of Mathematics, University of Alabama, Tuscaloosa, AL 35487, USA

Abstract

AbstractWe prove a multilinear version of the reverse Hölder inequality in the theory of Muckenhoupt {A_{p}} weights. We give two applications of this inequality to the study of multilinear weighted norm inequalities. First, we prove a structure theorem for multilinear {A_{\vec{p}}} weights; second, we give a new sufficient condition for multilinear, two-weighted norm inequalities for a maximal operator.

Funder

National Science Foundation

Publisher

Walter de Gruyter GmbH

Subject

General Mathematics

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