Geodesic
Hardy–Sobolev inequalities for Sobolev functions in central Herz–Morrey spaces on the unit ball
Yoshihiro Mizuta1 ; Tetsu Shimomura2
1Hiroshima University, Graduate School of Advanced Science and Engineering, Department of Mathematics
2Hiroshima University, Graduate School of Humanities and Social Sciences, Department of Mathematics
Annales Fennici Mathematici, Tome 46 (2021) no. 2, pp. 1031-1052
Cet article a éte moissonné depuis la source Journal.fi

Voir la notice de l'article

Our aim in this paper is to establish Hardy-Sobolev inequalities for Sobolev functions and generalized Riesz potentials in central Herz-Morrey spaces on the unit ball. As an application, we obtain norm inequalities for Green potentials.  
Keywords: Hardy-Sobolev inequality, central Herz-Morrey spaces, Riesz potentials

Yoshihiro Mizuta  1   ; Tetsu Shimomura  2

1 Hiroshima University, Graduate School of Advanced Science and Engineering, Department of Mathematics
2 Hiroshima University, Graduate School of Humanities and Social Sciences, Department of Mathematics 
@article{AFM_2021_46_2_a24,
     author = {Yoshihiro Mizuta and Tetsu Shimomura},
     title = {Hardy{\textendash}Sobolev inequalities for {Sobolev} functions in central {Herz{\textendash}Morrey} spaces on the unit ball},
     journal = {Annales Fennici Mathematici},
     pages = {1031--1052},
     year = {2021},
     volume = {46},
     number = {2},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/AFM_2021_46_2_a24/}
}
TY  - JOUR
AU  - Yoshihiro Mizuta
AU  - Tetsu Shimomura
TI  - Hardy–Sobolev inequalities for Sobolev functions in central Herz–Morrey spaces on the unit ball
JO  - Annales Fennici Mathematici
PY  - 2021
SP  - 1031
EP  - 1052
VL  - 46
IS  - 2
UR  - http://geodesic.mathdoc.fr/item/AFM_2021_46_2_a24/
LA  - en
ID  - AFM_2021_46_2_a24
ER  - 
%0 Journal Article
%A Yoshihiro Mizuta
%A Tetsu Shimomura
%T Hardy–Sobolev inequalities for Sobolev functions in central Herz–Morrey spaces on the unit ball
%J Annales Fennici Mathematici
%D 2021
%P 1031-1052
%V 46
%N 2
%U http://geodesic.mathdoc.fr/item/AFM_2021_46_2_a24/
%G en
%F AFM_2021_46_2_a24
Yoshihiro Mizuta; Tetsu Shimomura. Hardy–Sobolev inequalities for Sobolev functions in central Herz–Morrey spaces on the unit ball. Annales Fennici Mathematici, Tome 46 (2021) no. 2, pp. 1031-1052. http://geodesic.mathdoc.fr/item/AFM_2021_46_2_a24/