The Nemytskii operator on bounded p-variation in the mean spaces
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| Natura: | Artículo científico |
| Lingua: | en |
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Escuela Regional de Matemáticas
2011
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| _version_ | 1876467136514228224 |
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| author | René Erlín Castillo |
| author_facet | René Erlín Castillo |
| 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 |
| format | Artículo científico |
| id | redalyc_46818606003 |
| institution | Redalyc |
| language | en |
| publishDate | 2011 |
| publisher | Escuela Regional de Matemáticas |
| spellingShingle | The Nemytskii operator on bounded p-variation in the mean spaces René Erlín Castillo Física, Astronomía y Matemáticas Nemytskii's Operator 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 |
| title | The Nemytskii operator on bounded p-variation in the mean spaces |
| topic | Física, Astronomía y Matemáticas Nemytskii's Operator |
| url | https://www.redalyc.org/articulo.oa?id=46818606003 |