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

We introduce the notion of bounded Ö-variation in the sense of LÖ-norm. We obtain a Riesz type result for functions of bounded Ö-variation in the mean. We also show that if the Nemytskii operator act on the bounded Ö-variation in the mean spaces into itself and satisfy some Lipschitz condition there...

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Autores principales:	Castillo,René Erlin, Merentes,Nelson, Trousselot,Eduard
Lenguaje:	English
Publicado:	Universidad Católica del Norte, Departamento de Matemáticas 2013
Materias:	p, á)-variation Nemytskii operator
Acceso en línea:	http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172013000200003
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spelling	oai:scielo:S0716-091720130002000032013-06-26The Nemytskii operator on bounded ö-variation in the mean spacesCastillo,René ErlinMerentes,NelsonTrousselot,Eduard p, á)-variation Nemytskii operator We introduce the notion of bounded Ö-variation in the sense of LÖ-norm. We obtain a Riesz type result for functions of bounded Ö-variation in the mean. We also show that if the Nemytskii operator act on the bounded Ö-variation in the mean spaces into itself and satisfy some Lipschitz condition there exist two functions g and h belonging to the bounded Ö-variation in the mean space such that f (t,y) = g(t)y + h(t),t ∈ [0, 2ð], y ∈ R.info:eu-repo/semantics/openAccessUniversidad Católica del Norte, Departamento de MatemáticasProyecciones (Antofagasta) v.32 n.2 20132013-05-01text/htmlhttp://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172013000200003en10.4067/S0716-09172013000200003
institution	Scielo Chile
collection	Scielo Chile
language	English
topic	p, á)-variation Nemytskii operator
spellingShingle	p, á)-variation Nemytskii operator Castillo,René Erlin Merentes,Nelson Trousselot,Eduard The Nemytskii operator on bounded ö-variation in the mean spaces
description	We introduce the notion of bounded Ö-variation in the sense of LÖ-norm. We obtain a Riesz type result for functions of bounded Ö-variation in the mean. We also show that if the Nemytskii operator act on the bounded Ö-variation in the mean spaces into itself and satisfy some Lipschitz condition there exist two functions g and h belonging to the bounded Ö-variation in the mean space such that f (t,y) = g(t)y + h(t),t ∈ [0, 2ð], y ∈ R.
author	Castillo,René Erlin Merentes,Nelson Trousselot,Eduard
author_facet	Castillo,René Erlin Merentes,Nelson Trousselot,Eduard
author_sort	Castillo,René Erlin
title	The Nemytskii operator on bounded ö-variation in the mean spaces
title_short	The Nemytskii operator on bounded ö-variation in the mean spaces
title_full	The Nemytskii operator on bounded ö-variation in the mean spaces
title_fullStr	The Nemytskii operator on bounded ö-variation in the mean spaces
title_full_unstemmed	The Nemytskii operator on bounded ö-variation in the mean spaces
title_sort	nemytskii operator on bounded ö-variation in the mean spaces
publisher	Universidad Católica del Norte, Departamento de Matemáticas
publishDate	2013
url	http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172013000200003
work_keys_str_mv	AT castilloreneerlin thenemytskiioperatoronboundedovariationinthemeanspaces AT merentesnelson thenemytskiioperatoronboundedovariationinthemeanspaces AT trousseloteduard thenemytskiioperatoronboundedovariationinthemeanspaces AT castilloreneerlin nemytskiioperatoronboundedovariationinthemeanspaces AT merentesnelson nemytskiioperatoronboundedovariationinthemeanspaces AT trousseloteduard nemytskiioperatoronboundedovariationinthemeanspaces
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The Nemytskii operator on bounded ö-variation in the mean spaces

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