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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Bibliographic Details
Main Authors: Castillo,René Erlin, Merentes,Nelson, Trousselot,Eduard
Language:English
Published: Universidad Católica del Norte, Departamento de Matemáticas 2013
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Online Access:http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172013000200003
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