Geodesic
Maximal function in Beurling–Orlicz and central Morrey–Orlicz spaces
Lech Maligranda1 ; Katsuo Matsuoka2
1 Department of Engineering Sciences and Mathematics Luleå University of Technology SE-971 87 Luleå, Sweden
2 College of Economics Nihon University 1-3-2 Misaki-cho, Chiyoda-ku Tokyo 101-8360, Japan
Colloquium Mathematicum, Tome 138 (2015) no. 2, pp. 165-181.

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

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.
DOI : 10.4064/cm138-2-2
Keywords: define beurling orlicz spaces weak beurling orlicz spaces herz orlicz spaces weak herz orlicz spaces central morrey orlicz spaces weak central morrey orlicz spaces moreover strong type weak type estimates hardy littlewood maximal function these spaces investigated

Lech Maligranda 1 ; Katsuo Matsuoka 2

1 Department of Engineering Sciences and Mathematics Luleå University of Technology SE-971 87 Luleå, Sweden
2 College of Economics Nihon University 1-3-2 Misaki-cho, Chiyoda-ku Tokyo 101-8360, Japan 
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Lech Maligranda; Katsuo Matsuoka. Maximal function in Beurling–Orlicz and
 central Morrey–Orlicz spaces. Colloquium Mathematicum, Tome 138 (2015) no. 2, pp. 165-181. doi : 10.4064/cm138-2-2. http://geodesic.mathdoc.fr/articles/10.4064/cm138-2-2/

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