Geodesic
Compactness of Some Operators of Convolution Type in Generalized Morrey Spaces
Matematičeskie zametki, Tome 104 (2018) no. 3, pp. 336-344

Voir la notice de l'article provenant de la source Math-Net.Ru

Sufficient conditions for the compactness in generalized Morrey spaces of the composition of a convolution operator and the operator of multiplication by an essentially bounded function are obtained. Very weak conditions on the function are also obtained under which the commutator of the operator of multiplication by such a function and a convolution operator is compact. The compactness of convolution operators in domains of cone type is investigated.
Keywords: generalized Morrey space, convolution operator, multiplication operator, commutator, compactness. 
@article{MZM_2018_104_3_a1,
     author = {O. G. Avsyankin},
     title = {Compactness of {Some} {Operators} of {Convolution} {Type} in {Generalized} {Morrey} {Spaces}},
     journal = {Matemati\v{c}eskie zametki},
     pages = {336--344},
     publisher = {mathdoc},
     volume = {104},
     number = {3},
     year = {2018},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2018_104_3_a1/}
}
TY  - JOUR
AU  - O. G. Avsyankin
TI  - Compactness of Some Operators of Convolution Type in Generalized Morrey Spaces
JO  - Matematičeskie zametki
PY  - 2018
SP  - 336
EP  - 344
VL  - 104
IS  - 3
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/MZM_2018_104_3_a1/
LA  - ru
ID  - MZM_2018_104_3_a1
ER  - 
%0 Journal Article
%A O. G. Avsyankin
%T Compactness of Some Operators of Convolution Type in Generalized Morrey Spaces
%J Matematičeskie zametki
%D 2018
%P 336-344
%V 104
%N 3
%I mathdoc
%U http://geodesic.mathdoc.fr/item/MZM_2018_104_3_a1/
%G ru
%F MZM_2018_104_3_a1
O. G. Avsyankin. Compactness of Some Operators of Convolution Type in Generalized Morrey Spaces. Matematičeskie zametki, Tome 104 (2018) no. 3, pp. 336-344. http://geodesic.mathdoc.fr/item/MZM_2018_104_3_a1/