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Título:
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The norm of the Riemann-Liouville operator on L-p[0,1]: A probabilistic approach
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Autores:
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Adell, José A. ;
Gallardo Gutiérrez, Eva A.
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Tipo de documento:
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texto impreso
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Editorial:
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London Mathematical Society, 2007
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Dimensiones:
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application/pdf
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Nota general:
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info:eu-repo/semantics/restrictedAccess
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Idiomas:
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Palabras clave:
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Estado = Publicado
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Materia = Ciencias: Matemáticas: Análisis matemático
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Tipo = Artículo
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Resumen:
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We obtain explicit lower and upper bounds for the norm of the Riemann-Liouville operator V-s on L-p[0, 1] which are asymptotically sharp, thus completing previous results by Eveson. Similar statements are shown with respect to the norms parallel to V-s f parallel to(p), whenever f satisfies certain smoothness properties. It turns out that the correct rate of convergence of parallel to V-s f parallel to(p) as s -> infinity depends both on the infimum of the support of f and on the degree of smoothness of f. We use a probabilistic approach which allows us to give unified proofs.
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En línea:
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https://eprints.ucm.es/id/eprint/21068/1/Gallardo12oficial.pdf
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![The norm of the Riemann-Liouville operator on L-p[0,1]: A probabilistic approach](./styles/zen/images/no_image.jpg)
