On sharp reiteration theorems and weighted norm inequalities
Studia Mathematica, Tome 142 (2000) no. 1, pp. 7-24

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

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.
DOI : 10.4064/sm-142-1-7-24
Keywords: reiteration, weights, Hardy inequality

Jesús Bastero 1 ; Mario Milman 1 ; Francisco Ruiz 1

1
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Jesús Bastero; Mario Milman; Francisco Ruiz. On sharp reiteration theorems and weighted norm inequalities. Studia Mathematica, Tome 142 (2000) no. 1, pp. 7-24. doi: 10.4064/sm-142-1-7-24

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