Authors
Citation
F. Brock, A general rearrangement inequality a la Hardy-Littlewood, J INEQUAL A, 5(4), 2000, pp. 309-320
Citations number
15
Categorie Soggetti
Mathematics
Journal title
JOURNAL OF INEQUALITIES AND APPLICATIONS
ISSN journal
10255834
→ ACNP
Volume
5
Issue
4
Year of publication
2000
Pages
309 - 320
Database
ISI
SICI code
1025-5834(2000)5:4<309:AGRIAL>2.0.ZU;2-T
Abstract
Let F = F(nu(1),..., nu(m)) smooth on (R-0(+))(m) with F-nu i nu j greater
than or equal to 0 for i not equal j. Furthermore, let u(1),..., u(m) nonne
gative and bounded functions on R-n with compact support. We prove the ineq
uality integral(Rn) F(u(1),...,u(m))dx less than or equal to integral(Rn) F
(u(1)*,..., u(m)*) dx, where * denotes symmetric decreasing rearrangement.