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arXiv · 1902.10578

Improved fractional Poincar\'e type inequalities on John domains

María Eugenia Cejas·Irene Drelichman·Javier C. Martínez-Perales
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Abstract

We obtain improved fractional Poincar\'e inequalities in John domains of a metric space $(X, d)$ endowed with a doubling measure $\mu$ under some mild regularity conditions on the measure $\mu$. We also give sufficient conditions on a bounded domain to support fractional Poincar\'e type inequalities in this setting.

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María Eugenia Cejas, Irene Drelichman, Javier C. Martínez-Perales. 2019-02-27. Improved fractional Poincar\'e type inequalities on John domains. https://arxiv.org/abs/1902.10578

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