A Simple Proof of Inequalities of Integrals of Composite Functions

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dc.creatorJiang, Zhenglu
dc.creatorFu, Xiaoyong
dc.creatorTian, Hongjiong
dc.date2006-05-11
dc.date.accessioned2026-07-07T08:25:38Z
dc.date.available2026-07-07T08:25:38Z
dc.descriptionIn this paper we give a simple proof of inequalities of integrals of functions which are the composition of nonnegative continous convex functions on a vector space ${\bf R}^m$ and vector-valued functions in a weakly compact subset of a Banach vector space generated by $m$ $L_μ^p$-spaces for $1\leq p<+\infty.$ Also, the same inequalities hold if these vector-valued functions are in a weakly* compact subset of a Banach vector space generated by $m$ $L_μ^\infty$-spaces instead.
dc.identifierhttps://arxiv.org/abs/math/0605307
dc.identifierhttp://arxiv.org/abs/math/0605307
dc.identifierJournal of Mathematical Analysis and Applications, Vol 332, Number 2, 2007, p1308-1313.
dc.identifierdoi:10.1016/j.jmaa.2006.11.007
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/136688
dc.subjectFunctional Analysis
dc.titleA Simple Proof of Inequalities of Integrals of Composite Functions
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