METHODS OF ENSURING NATIONAL SECURITY OF CENTRAL ASIAN COUNTRIES UNDER NEW GEOPOLITICAL CONDITIONS
Article
Central Asia and the Caucasus.
CA and CC Press AB.
Vol. 19.
2018.
P. 7-16
Generalized fractional maximal and integral operators on Orlicz and generalized Orlicz–Morrey spaces of the third kind
In the present paper, we will characterize the boundedness of the generalized fractional integral operators Iρ and the generalized fractional maximal operators Mρ on Orlicz spaces, respectively. Moreover, we will give a characterization for the Spanne-type boundedness and the Adams-type boundedness of the operators Mρ and Iρ on generalized Orlicz–Morrey spaces, respectively. Also we give criteria for the weak versions of the Spanne-type boundedness and the Adams-type boundedness of the operators Mρ and Iρ on generalized Orlicz–Morrey spaces. © 2018, Springer Nature Switzerland AG.
Authors
Deringoz F.1
,
Guliyev V.S.
2,
3,
4
,
Nakai E.5
,
Sawano Y.
4,
6
,
Shi M.5
Journal
Publisher
Birkhauser Verlag AG
Language
English
Status
Published
Link
Year
2018
Organizations
- 1 Department of Mathematics, Ahi Evran University, Kirsehir, Turkey
- 2 Department of Mathematics, Dumlupinar University, Kutahya, Turkey
- 3 Institute of Mathematics and Mechanics, Baku, Azerbaijan
- 4 S.M. Nikolskii Institute of Mathematics at RUDN University, Moscow, 117198, Russian Federation
- 5 Department of Mathematics, Ibaraki University, Mito, Ibaraki 310-8512, Japan
- 6 Department of Mathematics and Information Sciences, Tokyo Metropolitan University, Minami-Ohsawa 1-1, Hachioji, Tokyo 192-0397, Japan
Keywords
42B20; 42B25; 42B35; 46E30; Generalized fractional integral; Generalized fractional maximal function; Generalized Orlicz-Morrey spaces; Orlicz spaces
Date of creation
04.02.2019
Date of change
04.02.2019
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