Improved fractional Poincaré type inequalities on John domains

2019/02/27 by Cejas, María Eugenia, Drelichman, Irene, Martínez-Perales, Javier C.
#Classical Analysis and ODEs (math.CA) #FOS: Mathematics

paper · doi:10.48550/arxiv.1902.10578

Abstract

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.

Related

• On improved fractional Sobolev-Poincaré inequalities
• Improved Poincaré inequalities in fractional Sobolev spaces
• On fractional Poincaré inequalities
• On the weighted fractional Poincare-type inequalities
• Fractional Sobolev-Poincar 'e and fractional Hardy inequalities in\n unbounded John domains