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| Format: | Artículo científico |
| Language: | en |
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Escuela Regional de Matemáticas
2011
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| Online Access: | https://www.redalyc.org/articulo.oa?id=46818606003 |
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Table of Contents:
- The Nemytskii operator on bounded p-variation in the mean spaces René Erlín Castillo Física, Astronomía y Matemáticas Nemytskii's Operator We introduce the notion of bounded p-variation in the sense of Lp-norm. We obtain a Riesz type result for functions of bounded p-variation in the mean. We show that if the Nemytskii operatormap the bounded p-variation in the mean spaces into itself and satisfy some Lipschitz condition there exist two functions g and h belonging to the bounded p-variation in the mean space such that f(t, y) = g(t)y + h(t), t 2 [0, 2pi], y 2 R. 2011 artículo científico 0120-6788 https://www.redalyc.org/articulo.oa?id=46818606003 en http://www.redalyc.org/revista.oa?id=468 Matemáticas: Enseñanza Universitaria application/pdf Escuela Regional de Matemáticas Matemáticas: Enseñanza Universitaria (Colombia) Num.1 Vol.XIX