The Affine Convex Lorentz–Sobolev Inequalities
The Lorentz-Sobolev inequality on C 0 ∞ ( R n ) was established by Alvino and Maz’ya independently, and the convex Lorentz–Sobolev inequalities on C 0 ∞ ( R n ) were showed by Ludwig, Xiao and Zhang. In this paper, we prove the affine Lorentz–Sobolev inequalities on W 1 , p ( R n ) and B V ( R n ) ,...
Gespeichert in:
| Veröffentlicht in: | The Journal of Geometric Analysis 2024, Vol.34 (1), Article 30 |
|---|---|
| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | eng |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| Zusammenfassung: | The Lorentz-Sobolev inequality on
C
0
∞
(
R
n
)
was established by Alvino and Maz’ya independently, and the convex Lorentz–Sobolev inequalities on
C
0
∞
(
R
n
)
were showed by Ludwig, Xiao and Zhang. In this paper, we prove the affine Lorentz–Sobolev inequalities on
W
1
,
p
(
R
n
)
and
B
V
(
R
n
)
, we also prove the affine convex Lorentz–Sobolev inequalities on
C
0
∞
(
R
n
)
and
B
V
(
R
n
)
. |
|---|---|
| ISSN: | 1050-6926 1559-002X |
| DOI: | 10.1007/s12220-023-01471-y |