The Poincaré Inequality Does Not Improve with Blow-Up
For each β > 1 we construct a family Fβ of metric measure spaces which is closed under the operation of taking weak-tangents (i.e. blow-ups), and such that each element of Fβ admits a (1, P)-Poincaré inequality if and only if P > β.
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| Format: | Article |
| Language: | English |
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De Gruyter
2016-12-01
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| Series: | Analysis and Geometry in Metric Spaces |
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| Online Access: | https://doi.org/10.1515/agms-2016-0018 |