On the Choquet integrals associated to Bessel capacities
Czechoslovak Mathematical Journal, Tome 72 (2022) no. 2, pp. 433-447.

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

We characterize the Choquet integrals associated to Bessel capacities in terms of the preduals of the Sobolev multiplier spaces. We make use of the boundedness of local Hardy-Littlewood maximal function on the preduals of the Sobolev multiplier spaces and the minimax theorem as the main tools for the characterizations.
DOI : 10.21136/CMJ.2021.0525-20
Classification : 31C15, 42B25
Keywords: Choquet integral; Bessel capacity; Hardy-Littlewood maximal function
@article{10_21136_CMJ_2021_0525_20,
     author = {Ooi, Keng Hao},
     title = {On the {Choquet} integrals associated to {Bessel} capacities},
     journal = {Czechoslovak Mathematical Journal},
     pages = {433--447},
     publisher = {mathdoc},
     volume = {72},
     number = {2},
     year = {2022},
     doi = {10.21136/CMJ.2021.0525-20},
     mrnumber = {4412768},
     zbl = {07547213},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.21136/CMJ.2021.0525-20/}
}
TY  - JOUR
AU  - Ooi, Keng Hao
TI  - On the Choquet integrals associated to Bessel capacities
JO  - Czechoslovak Mathematical Journal
PY  - 2022
SP  - 433
EP  - 447
VL  - 72
IS  - 2
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.21136/CMJ.2021.0525-20/
DO  - 10.21136/CMJ.2021.0525-20
LA  - en
ID  - 10_21136_CMJ_2021_0525_20
ER  - 
%0 Journal Article
%A Ooi, Keng Hao
%T On the Choquet integrals associated to Bessel capacities
%J Czechoslovak Mathematical Journal
%D 2022
%P 433-447
%V 72
%N 2
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.21136/CMJ.2021.0525-20/
%R 10.21136/CMJ.2021.0525-20
%G en
%F 10_21136_CMJ_2021_0525_20
Ooi, Keng Hao. On the Choquet integrals associated to Bessel capacities. Czechoslovak Mathematical Journal, Tome 72 (2022) no. 2, pp. 433-447. doi : 10.21136/CMJ.2021.0525-20. http://geodesic.mathdoc.fr/articles/10.21136/CMJ.2021.0525-20/

Cité par Sources :