Generalized fractional integral operators on weak Choquet spaces over quasi-metric measure spaces
Czechoslovak Mathematical Journal, Tome 74 (2024) no. 3, pp. 905-913 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

Voir la notice de l'article

We prove the boundedness of the generalized fractional maximal operator $M_{\alpha }$ and the generalized fractional integral operator $I_{\alpha }$ on weak Choquet spaces with respect to Hausdorff content over quasi-metric measure spaces.
We prove the boundedness of the generalized fractional maximal operator $M_{\alpha }$ and the generalized fractional integral operator $I_{\alpha }$ on weak Choquet spaces with respect to Hausdorff content over quasi-metric measure spaces.
DOI : 10.21136/CMJ.2024.0133-24
Classification : 28A12, 42B25, 46E30
Keywords: fractional integral operator; quasi-metric measure space; Hausdorff content; weak Choquet space; Ahlfors regular
@article{10_21136_CMJ_2024_0133_24,
     author = {Futamura, Toshihide and Shimomura, Tetsu},
     title = {Generalized fractional integral operators on weak {Choquet} spaces over quasi-metric measure spaces},
     journal = {Czechoslovak Mathematical Journal},
     pages = {905--913},
     year = {2024},
     volume = {74},
     number = {3},
     doi = {10.21136/CMJ.2024.0133-24},
     mrnumber = {4804967},
     zbl = {07953685},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.21136/CMJ.2024.0133-24/}
}
TY  - JOUR
AU  - Futamura, Toshihide
AU  - Shimomura, Tetsu
TI  - Generalized fractional integral operators on weak Choquet spaces over quasi-metric measure spaces
JO  - Czechoslovak Mathematical Journal
PY  - 2024
SP  - 905
EP  - 913
VL  - 74
IS  - 3
UR  - http://geodesic.mathdoc.fr/articles/10.21136/CMJ.2024.0133-24/
DO  - 10.21136/CMJ.2024.0133-24
LA  - en
ID  - 10_21136_CMJ_2024_0133_24
ER  - 
%0 Journal Article
%A Futamura, Toshihide
%A Shimomura, Tetsu
%T Generalized fractional integral operators on weak Choquet spaces over quasi-metric measure spaces
%J Czechoslovak Mathematical Journal
%D 2024
%P 905-913
%V 74
%N 3
%U http://geodesic.mathdoc.fr/articles/10.21136/CMJ.2024.0133-24/
%R 10.21136/CMJ.2024.0133-24
%G en
%F 10_21136_CMJ_2024_0133_24
Futamura, Toshihide; Shimomura, Tetsu. Generalized fractional integral operators on weak Choquet spaces over quasi-metric measure spaces. Czechoslovak Mathematical Journal, Tome 74 (2024) no. 3, pp. 905-913. doi: 10.21136/CMJ.2024.0133-24

Cité par Sources :