Improved fractional Poincaré type inequalities on John domains

We obtain improved fractional Poincaré inequalities in John domains of a metric space (X, d) endowed with a doubling measure μ under some mild regularity conditions on the measure μ. We also give sufficient conditions on a bounded domain to support fractional Poincaré type inequalities in this setti...

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Detalles Bibliográficos
Autores: Cejas, María Eugenia, Drelichman, Irene, Martínez Perales, Javier
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:2019
País:Argentina
Institución:Consejo Nacional de Investigaciones Científicas y Técnicas
Repositorio:CONICET Digital (CONICET)
Idioma:inglés
OAI Identifier:oai:ri.conicet.gov.ar:11336/130109
Acceso en línea:http://hdl.handle.net/11336/130109
Access Level:acceso abierto
Palabra clave:POINCARE INEQUALITY
FRACTIONAL NORMS
WEIGHTS
METRIC SPACES
https://purl.org/becyt/ford/1.1
https://purl.org/becyt/ford/1
Descripción
Sumario:We obtain improved fractional Poincaré inequalities in John domains of a metric space (X, d) endowed with a doubling measure μ under some mild regularity conditions on the measure μ. We also give sufficient conditions on a bounded domain to support fractional Poincaré type inequalities in this setting.