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Título:
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Connections between ?-Poincaré inequality, quasi-convexity, and N1,?
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Autores:
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Durand-Cartagena, Estibalitz ;
Jaramillo Aguado, Jesús Ángel ;
Shanmugalingam, Nageswari
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Tipo de documento:
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texto impreso
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Editorial:
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Centre de Recerca Matemàtica, 2009-10
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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/openAccess
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Idiomas:
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Palabras clave:
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Estado = No publicado
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Materia = Ciencias: Matemáticas: Análisis funcional y teoría de operadores
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Tipo = Artículo
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Resumen:
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We study a geometric characterization of ??Poincaré inequality. We show that a path-connected complete doubling metric measure space supports an ??Poincaré inequality if and only if it is thick quasi-convex. We also prove that these two equivalent properties are also equivalent to the purely analytic property that N1,?(X) = LIP?(X), where LIP?(X) is the collection of bounded Lipschitz functions on X and N1,?(X) is the Newton-Sobolev space studied in [DJ].
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En línea:
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https://eprints.ucm.es/id/eprint/28477/1/Jaramillo104.pdf
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