文章基本信息

标题：Extensions of the Hardy-Littlewood inequalities for Schwarz symmetrization
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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 .