A note on metric-measure spaces supporting Poincaré inequalities

Abstract

Using a method of Korobenko, Maldonado and Rios we show a new characterization of doubling metric-measure spaces supporting Poincaré inequalities without assuming a priori that the measure is doubling.

References in corpus (2)

• The annular decay property and capacity estimates for thin annuli
• Sobolev embedding for $M^{1,p}$ spaces is equivalent to a lower bound of the measure

Cited by in corpus (2)

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