Geodesic
Trudinger-type inequalities in Musielak–Orlicz spaces and double phase functionals
Canadian mathematical bulletin, Tome 68 (2025) no. 4, pp. 1192-1209

Voir la notice de l'article provenant de la source Cambridge

DOI

We establish Trudinger-type inequalities for variable Riesz potentials $J_{\alpha (\cdot ), \tau }f$ of functions in Musielak–Orlicz spaces $L^{\Phi }(X)$ over bounded metric measure spaces X equipped with lower Ahlfors $Q(x)$-regular measures under conditions on $\Phi $ which are weaker than conditions in the previous paper (Houston J. Math. 48 (2022), no. 3, 479–497). We also deal with the case $\Phi $ is the double phase functional with variable exponents. As an application, Trudinger-type inequalities are discussed for Sobolev functions.
DOI : 10.4153/S0008439525000360
Mots-clés : Riesz potentials, Musielak–Orlicz spaces, Trudinger’s inequality, metric measure space, double phase functional 
Ohno, Takao; Shimomura, Tetsu. Trudinger-type inequalities in Musielak–Orlicz spaces and double phase functionals. Canadian mathematical bulletin, Tome 68 (2025) no. 4, pp. 1192-1209. doi: 10.4153/S0008439525000360
@article{10_4153_S0008439525000360,
     author = {Ohno, Takao and Shimomura, Tetsu},
     title = {Trudinger-type inequalities in {Musielak{\textendash}Orlicz} spaces and double phase functionals},
     journal = {Canadian mathematical bulletin},
     pages = {1192--1209},
     year = {2025},
     volume = {68},
     number = {4},
     doi = {10.4153/S0008439525000360},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/S0008439525000360/}
}
TY  - JOUR
AU  - Ohno, Takao
AU  - Shimomura, Tetsu
TI  - Trudinger-type inequalities in Musielak–Orlicz spaces and double phase functionals
JO  - Canadian mathematical bulletin
PY  - 2025
SP  - 1192
EP  - 1209
VL  - 68
IS  - 4
UR  - http://geodesic.mathdoc.fr/articles/10.4153/S0008439525000360/
DO  - 10.4153/S0008439525000360
ID  - 10_4153_S0008439525000360
ER  - 
%0 Journal Article
%A Ohno, Takao
%A Shimomura, Tetsu
%T Trudinger-type inequalities in Musielak–Orlicz spaces and double phase functionals
%J Canadian mathematical bulletin
%D 2025
%P 1192-1209
%V 68
%N 4
%U http://geodesic.mathdoc.fr/articles/10.4153/S0008439525000360/
%R 10.4153/S0008439525000360
%F 10_4153_S0008439525000360

Cité par Sources :