We define Beurling-Orlicz spaces, weak Beurling-Orlicz spaces, Herz-Orlicz spaces, weak Herz-Orlicz spaces, central Morrey-Orlicz spaces and weak central Morrey-Orlicz spaces. Moreover, the strong-type and weak-type estimates of the Hardy-Littlewood maximal function on these spaces are investigated.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-cm138-2-2,
author = {Lech Maligranda and Katsuo Matsuoka},
title = {Maximal function in Beurling-Orlicz and central Morrey-Orlicz spaces},
journal = {Colloquium Mathematicae},
volume = {139},
year = {2015},
pages = {165-181},
zbl = {1330.46028},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm138-2-2}
}
Lech Maligranda; Katsuo Matsuoka. Maximal function in Beurling-Orlicz and central Morrey-Orlicz spaces. Colloquium Mathematicae, Tome 139 (2015) pp. 165-181. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm138-2-2/