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.
Keywords:
reiteration, weights, Hardy inequality
Affiliations des auteurs :
Jesús Bastero 1 ; Mario Milman 1 ; Francisco Ruiz 1
@article{10_4064_sm_142_1_7_24,
author = {Jes\'us Bastero and Mario Milman and Francisco Ruiz},
title = {On sharp reiteration theorems and weighted norm inequalities},
journal = {Studia Mathematica},
pages = {7--24},
publisher = {mathdoc},
volume = {142},
number = {1},
year = {2000},
doi = {10.4064/sm-142-1-7-24},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.4064/sm-142-1-7-24/}
}
TY - JOUR AU - Jesús Bastero AU - Mario Milman AU - Francisco Ruiz TI - On sharp reiteration theorems and weighted norm inequalities JO - Studia Mathematica PY - 2000 SP - 7 EP - 24 VL - 142 IS - 1 PB - mathdoc UR - http://geodesic.mathdoc.fr/articles/10.4064/sm-142-1-7-24/ DO - 10.4064/sm-142-1-7-24 LA - en ID - 10_4064_sm_142_1_7_24 ER -
%0 Journal Article %A Jesús Bastero %A Mario Milman %A Francisco Ruiz %T On sharp reiteration theorems and weighted norm inequalities %J Studia Mathematica %D 2000 %P 7-24 %V 142 %N 1 %I mathdoc %U http://geodesic.mathdoc.fr/articles/10.4064/sm-142-1-7-24/ %R 10.4064/sm-142-1-7-24 %G en %F 10_4064_sm_142_1_7_24
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
Cité par Sources :