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Título:
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Geometric characterizations of p-Poincaré inequalities in the metric setting
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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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Universitat Aut?noma de Barcelona, 2016
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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
info:eu-repo/semantics/openAccess
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Idiomas:
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,
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Palabras clave:
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Estado = 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 prove that a locally complete metric space endowed with a doubling measure satisfies an infinity-Poincare inequality if and only if given a null set, every two points can be joined by a quasiconvex curve which "almost avoids" that set. As an application, we characterize doubling measures on R satisfying an infinity-Poincare inequality. For Ahlfors Q-regular spaces, we obtain a characterization of p-Poincare inequality for p > Q in terms of the p-modulus of quasiconvex curves connecting pairs of points in the space. A related characterization is given for the case Q - 1
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En línea:
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https://eprints.ucm.es/id/eprint/28378/1/Jaramillo102.pdf
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