Extensions of the Hardy-Littlewood inequalities for Schwarz symmetrization

H. Hajaiej and C. A. Stuart

International Journal of Mathematics and Mathematical Sciences, 2004, vol. 2004, 1-22

Abstract:

For a class of functions H : ( 0 , ∞ ) × ℝ + 2 → ℝ , including discontinuous functions of Carathéodory type, we establish that ∫ ℝ N H ( | x | , u ( x ) , v ( x ) ) d x ≤ ∫ ℝ N H ( | x | , u * ( x ) , v * ( x ) ) d x , where u * ( x ) and v * ( x ) denote the Schwarz symmetrizations of nonnegative functions u and v .

Date: 2004
References: Add references at CitEc
Citations:

Downloads: (external link)
http://downloads.hindawi.com/journals/IJMMS/2004/141863.pdf (application/pdf)
http://downloads.hindawi.com/journals/IJMMS/2004/141863.xml (text/xml)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:141863

DOI: 10.1155/S0161171204402348

Access Statistics for this article

More articles in International Journal of Mathematics and Mathematical Sciences from Hindawi
Bibliographic data for series maintained by Mohamed Abdelhakeem ().