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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Autores principales: Cejas, María Eugenia, Drelichman, Irene, Martínez Perales, Javier C.
Formato: Articulo
Lenguaje:Inglés
Publicado: 2019
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Acceso en línea:http://sedici.unlp.edu.ar/handle/10915/124641
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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.