We give a characterization of the weights (u,w) for which the Hardy-Littlewood maximal operator is bounded from the Orlicz space L_Φ(u) to L_Φ(w). We give a characterization of the weight functions w (respectively u) for which there exists a nontrivial u (respectively w > 0 almost everywhere) such that the Hardy-Littlewood maximal operator is bounded from the Orlicz space L_Φ(u) to L_Φ(w).
@article{bwmeta1.element.bwnjournal-article-smv101i3p241bwm,
author = {Qiyu Sun},
title = {Weighted norm inequalities on spaces of homogeneous type},
journal = {Studia Mathematica},
volume = {103},
year = {1992},
pages = {241-251},
zbl = {0812.46018},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-smv101i3p241bwm}
}
Sun, Qiyu. Weighted norm inequalities on spaces of homogeneous type. Studia Mathematica, Tome 103 (1992) pp. 241-251. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-smv101i3p241bwm/
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