On sharp reiteration theorems and weighted norm inequalities
Bastero, Jesús ; Milman, Mario ; Ruiz, Francisco
Studia Mathematica, Tome 141 (2000), p. 7-24 / Harvested from The Polish Digital Mathematics Library

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.

Publié le : 2000-01-01
EUDML-ID : urn:eudml:doc:216791
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     author = {Jes\'us Bastero and Mario Milman and Francisco Ruiz},
     title = {On sharp reiteration theorems and weighted norm inequalities},
     journal = {Studia Mathematica},
     volume = {141},
     year = {2000},
     pages = {7-24},
     zbl = {1001.46011},
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     url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-smv142i1p7bwm}
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Bastero, Jesús; Milman, Mario; Ruiz, Francisco. On sharp reiteration theorems and weighted norm inequalities. Studia Mathematica, Tome 141 (2000) pp. 7-24. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-smv142i1p7bwm/

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