Boundedness of maximal operators and Sobolevʼs inequality on Musielak–Orlicz–Morrey spaces

Our aim in this paper is to deal with the boundedness of the Hardy–Littlewood maximal operator on Musielak–Orlicz–Morrey spaces. As an application of the boundedness of the maximal operator, we establish a generalization of Sobolevʼs inequality for general potentials of functions in Musielak–Orlicz–...

Full description

Saved in:
Bibliographic Details
Published in:Bulletin des sciences mathématiques 2013-01, Vol.137 (1), p.76-96
Main Authors: Maeda, Fumi-Yuki, Mizuta, Yoshihiro, Ohno, Takao, Shimomura, Tetsu
Format: Article
Language:English
Subjects:
Maximal operator
Morrey space
Musielak–Orlicz space
Sobolevʼs inequality
Variable exponent
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:Our aim in this paper is to deal with the boundedness of the Hardy–Littlewood maximal operator on Musielak–Orlicz–Morrey spaces. As an application of the boundedness of the maximal operator, we establish a generalization of Sobolevʼs inequality for general potentials of functions in Musielak–Orlicz–Morrey spaces.
ISSN:0007-4497
1952-4773
DOI:10.1016/j.bulsci.2012.03.008