Extensions of the Hardy-Littlewood inequalities for Schwarz symmetrization

Autor: H. Hajaiej, C. A. Stuart
Jazyk: angličtina
Rok vydání: 2004
Předmět:
Zdroj: International Journal of Mathematics and Mathematical Sciences, Vol 2004, Iss 59, Pp 3129-3150 (2004)
Druh dokumentu: article
ISSN: 0161-1712
1687-0425
01611712
DOI: 10.1155/S0161171204402348
Popis: For a class of functions H:(0,∞)×ℝ+2→ℝ, including discontinuous functions of Carathéodory type, we establish that ∫ℝNH(|x|,u(x),v(x))dx≤∫ℝNH(|x|,u*(x),v*(x))dx, where u*(x) and v*(x) denote the Schwarz symmetrizations of nonnegative functions u and v.
Databáze: Directory of Open Access Journals
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