Boundedness of the maximal operator and Sobolev’s inequality on non-homogeneous central Herz–Morrey–Orlicz spaces

Boundedness of the maximal operator and Sobolev’s inequality on non-homogeneous central Herz–Morrey–Orlicz spaces

Our aim in this paper is to deal with the boundedness of the Hardy–Littlewood maximal operator in non-homogeneous central Herz–Morrey–Orlicz spaces. As an application, we give Sobolev’s inequality for Riesz potentials.

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Veröffentlicht in:Nonlinear analysis 2015-11, Vol.128, p.325-347
Hauptverfasser: Mizuta, Yoshihiro, Ohno, Takao
Format: Artikel
Sprache:eng
Schlagworte:
Inequalities
Maximal operator
Non-homogeneous Central Herz–Morrey–Orlicz spaces
Nonlinearity
Operators
Riesz potentials
Sobolev’s inequality
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Zusammenfassung:Our aim in this paper is to deal with the boundedness of the Hardy–Littlewood maximal operator in non-homogeneous central Herz–Morrey–Orlicz spaces. As an application, we give Sobolev’s inequality for Riesz potentials.
ISSN:0362-546X
1873-5215
DOI:10.1016/j.na.2015.08.014