Maximal function in Beurling–Orlicz and central Morrey–Orlicz spaces
Volume 138 / 2015
Colloquium Mathematicum 138 (2015), 165-181
MSC: Primary 46E30; Secondary 46B35.
DOI: 10.4064/cm138-2-2
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.
