Ahlfors Q-Regular Spaces with Arbitrary Q > 1 Admitting Weak Poincaré Inequality¶
Laakso, T. J. (2000). Ahlfors Q-Regular Spaces with Arbitrary Q > 1 Admitting Weak Poincaré Inequality. Geometric and Functional Analysis, 111-123.
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Domain-specific¶
- Laakso Space
- The construction answered a structural question in analysis on metric spaces: fractional Hausdorff dimension does not, by itself, prevent a space from supporting the kind of first-order analysis associated with differentiability and Poincaré estimates.
This sourceGives the defining existence construction and analytic properties.
- The construction answered a structural question in analysis on metric spaces: fractional Hausdorff dimension does not, by itself, prevent a space from supporting the kind of first-order analysis associated with differentiability and Poincaré estimates.
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