On sharp reiteration theorems and weighted norm inequalities

Jesús Bastero; Mario Milman; Francisco Ruiz

ArticleOriginal scientific text

Title

On sharp reiteration theorems and weighted norm inequalities

Authors ¹, ², ¹

Affiliations

Department of Mathematics, University of Zaragoza, 50009 Zaragoza, Spain
Department of Mathematics, Florida Atlantic University, Boca Raton, FL 3341, U.S.A.

Abstract

We prove sharp end forms of Holmstedt's reiteration theorem which are closely connected with a general form of Gehring's Lemma. Reverse type conditions for the Hardy-Littlewood-Pólya order are considered and the maximal elements are shown to satisfy generalized Gehring conditions. The methods we use are elementary and based on variants of reverse Hardy inequalities for monotone functions.

Keywords

ENG

reiteration, weights, Hardy inequality

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Title

On sharp reiteration theorems and weighted norm inequalities

Affiliations

Abstract

Keywords

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