Maximal function in Beurling-Orlicz and central Morrey-Orlicz spaces

Lech Maligranda, and Katsuo Matsuoka. "Maximal function in Beurling-Orlicz and central Morrey-Orlicz spaces." Colloquium Mathematicae 138.2 (2015): 165-181. <http://eudml.org/doc/283590>.

@article{LechMaligranda2015,
abstract = {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.},
author = {Lech Maligranda, Katsuo Matsuoka},
journal = {Colloquium Mathematicae},
keywords = {Hardy-Littlewood maximal function; Orlicz function; Orlicz space; weak Orlicz space; Beurling-Orlicz space; weak Beurling-Orlicz space; Herz-Orlicz space; weak Herz-Orlicz space; central Morrey-Orlicz space; weak central Morrey-Orlicz space; modular inequality},
language = {eng},
number = {2},
pages = {165-181},
title = {Maximal function in Beurling-Orlicz and central Morrey-Orlicz spaces},
url = {http://eudml.org/doc/283590},
volume = {138},
year = {2015},
}

TY - JOUR
AU - Lech Maligranda
AU - Katsuo Matsuoka
TI - Maximal function in Beurling-Orlicz and central Morrey-Orlicz spaces
JO - Colloquium Mathematicae
PY - 2015
VL - 138
IS - 2
SP - 165
EP - 181
AB - 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.
LA - eng
KW - Hardy-Littlewood maximal function; Orlicz function; Orlicz space; weak Orlicz space; Beurling-Orlicz space; weak Beurling-Orlicz space; Herz-Orlicz space; weak Herz-Orlicz space; central Morrey-Orlicz space; weak central Morrey-Orlicz space; modular inequality
UR - http://eudml.org/doc/283590
ER -