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

dc.creator	Castillo Castillo, René Erlín	es
dc.creator	Merentes, Nelson	es
dc.creator	Trousselot, Eduard	es
dc.date	2013-05-01
dc.date.accessioned	2024-11-04T11:29:09Z
dc.date.available	2024-11-04T11:29:09Z
dc.identifier	https://www.revistaproyecciones.cl/index.php/proyecciones/article/view/1121
dc.identifier	10.4067/S0716-09172013000200003
dc.identifier.uri	https://revistaschilenas.uchile.cl/handle/2250/245711
dc.description	We introduce the notion of bounded Φ-variation in the sense of LΦ-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 ∈ [0, 2π], y ∈ R.	es
dc.format	application/pdf
dc.language	spa
dc.publisher	Universidad Católica del Norte.	en
dc.relation	https://www.revistaproyecciones.cl/index.php/proyecciones/article/view/1121/1161
dc.rights	Copyright (c) 2013 Proyecciones. Journal of Mathematics	en
dc.source	Proyecciones (Antofagasta, On line); Vol. 32 No. 2 (2013); 119-142	en
dc.source	Proyecciones. Revista de Matemática; Vol. 32 Núm. 2 (2013); 119-142	es
dc.source	0717-6279
dc.title	The Nemytskii operator on bounded Φ-variation in the mean spaces	es
dc.type	info:eu-repo/semantics/article
dc.type	info:eu-repo/semantics/publishedVersion