Show simple item record

The Nemytskii operator on bounded φ-variation in the mean spaces

dc.creatorCastillo Castillo, René Erlín
dc.creatorMerentes, Nelson
dc.creatorTrousselot, Eduard
dc.date2013-05-01
dc.identifierhttp://www.revistaproyecciones.cl/article/view/1121
dc.identifier10.4067/S0716-09172013000200003
dc.descriptionWe introduce the notion of bounded Φ-variation in the sense of L^-norm. We obtain a Riesz type result for functions of bounded Φ-variation in the mean. We also show that if the Nemytskii operator act on the bounded Φ-variation in the mean spaces into itself and satisfy some Lipschitz condition there exist two functions g and h belonging to the bounded Φ-variation in the mean space such that f (t,y) = g(t)y + h(t),t G [0, 2π],y G.es-ES
dc.formatapplication/pdf
dc.languagespa
dc.publisherUniversidad Católica del Norte.es-ES
dc.relationhttp://www.revistaproyecciones.cl/article/view/1121/1161
dc.rightsDerechos de autor 2013 Proyecciones. Journal of Mathematicses-ES
dc.sourceProyecciones. Journal of Mathematics; Vol 32 No 2 (2013); 119-142en-US
dc.sourceProyecciones. Revista de Matemática; Vol. 32 Núm. 2 (2013); 119-142es-ES
dc.source0717-6279
dc.source0716-0917
dc.titleThe Nemytskii operator on bounded φ-variation in the mean spaceses-ES
dc.typeinfo:eu-repo/semantics/article
dc.typeinfo:eu-repo/semantics/publishedVersion
dc.typeArtículo revisado por pareses-ES


This item appears in the following Collection(s)

Show simple item record