Geodesic
Riesz potentials and Sobolev-type inequalities in Orlicz-Morrey spaces of an integral form
Czechoslovak Mathematical Journal, Tome 73 (2023) no. 1, pp. 263-276.

Voir la notice de l'article provenant de la source Czech Digital Mathematics Library

Our aim is to give Sobolev-type inequalities for Riesz potentials of functions in Orlicz-Morrey spaces of an integral form over non-doubling metric measure spaces as an extension of T. Ohno, T. Shimomura (2022). Our results are new even for the doubling metric measure spaces.
DOI : 10.21136/CMJ.2022.0149-22
Classification : 46E30, 46E35
Keywords: Riesz potential; Sobolev's inequality; Orlicz-Morrey space; metric measure space; non-doubling measure 
@article{10_21136_CMJ_2022_0149_22,
     author = {Ohno, Takao and Shimomura, Tetsu},
     title = {Riesz potentials and {Sobolev-type} inequalities in {Orlicz-Morrey} spaces of an integral form},
     journal = {Czechoslovak Mathematical Journal},
     pages = {263--276},
     publisher = {mathdoc},
     volume = {73},
     number = {1},
     year = {2023},
     doi = {10.21136/CMJ.2022.0149-22},
     mrnumber = {4541101},
     zbl = {07655767},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.21136/CMJ.2022.0149-22/}
}
TY  - JOUR
AU  - Ohno, Takao
AU  - Shimomura, Tetsu
TI  - Riesz potentials and Sobolev-type inequalities in Orlicz-Morrey spaces of an integral form
JO  - Czechoslovak Mathematical Journal
PY  - 2023
SP  - 263
EP  - 276
VL  - 73
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.21136/CMJ.2022.0149-22/
DO  - 10.21136/CMJ.2022.0149-22
LA  - en
ID  - 10_21136_CMJ_2022_0149_22
ER  - 
%0 Journal Article
%A Ohno, Takao
%A Shimomura, Tetsu
%T Riesz potentials and Sobolev-type inequalities in Orlicz-Morrey spaces of an integral form
%J Czechoslovak Mathematical Journal
%D 2023
%P 263-276
%V 73
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.21136/CMJ.2022.0149-22/
%R 10.21136/CMJ.2022.0149-22
%G en
%F 10_21136_CMJ_2022_0149_22
Ohno, Takao; Shimomura, Tetsu. Riesz potentials and Sobolev-type inequalities in Orlicz-Morrey spaces of an integral form. Czechoslovak Mathematical Journal, Tome 73 (2023) no. 1, pp. 263-276. doi : 10.21136/CMJ.2022.0149-22. http://geodesic.mathdoc.fr/articles/10.21136/CMJ.2022.0149-22/

Cité par Sources :