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RESEARCH PRODUCT
The Poincaré inequality is an open ended condition
Stephen KeithXiao Zhongsubject
Combinatoricssymbols.namesakeMathematics (miscellaneous)Mathematical analysisMetric (mathematics)symbolsPoincaré inequalityStatistics Probability and UncertaintyMinkowski inequalitySpace (mathematics)Measure (mathematics)Mathematicsdescription
Let p > 1 and let (X,d,µ) be a complete metric measure space with µ Borel and doubling that admits a (1,p)-Poincare inequality. Then there exists e > 0 such that (X,d,µ) admits a (1,q)-Poincare inequality for every q > p - e, quantitatively.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2008-03-01 | Annals of Mathematics |