文章基本信息
- 标题：Extensions of the Hardy-Littlewood inequalities for Schwarz symmetrization
- 本地全文：下载
- 作者：H. Hajaiej ; C. A. Stuart
- 期刊名称：International Journal of Mathematics and Mathematical Sciences
- 印刷版ISSN：0161-1712
- 电子版ISSN：1687-0425
- 出版年度：2004
- 卷号：2004
- 期号：59
- 页码：3129-3150
- DOI：10.1155/S0161171204402348
- 出版社：Hindawi Publishing Corporation
- 摘要：
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 .
