The Poincaré inequality is an open ended condition

• Autores: Stephen Keith, Xiao Zhong
• Localización: Annals of mathematics, ISSN 0003-486X, Vol. 167, Nº 2, 2008, págs. 575-599
• Idioma: inglés
• DOI: 10.4007/annals.2008.167.575
• Texto completo no disponible (Saber más ...)
• Resumen

  • Let p > 1 and let (X,d,µ) be a complete metric measure space with µ Borel and doubling that admits a (1,p)-Poincaré inequality. Then there exists e > 0 such that (X,d,µ) admits a (1,q)-Poincaré inequality for every q > p - e, quantitatively.