Inverse Limit Spaces Satisfying a Poincaré Inequality
نویسندگان
چکیده
منابع مشابه
2 01 3 Inverse Limit Spaces Satisfying a Poincaré Inequality
We give conditions on Gromov-Hausdorff convergent inverse systems of metric measure graphs which imply that the measured Gromov-Hausdorff limit (equivalently, the inverse limit) is a PI space i.e., it satisfies a doubling condition and a Poincaré inequality in the sense of Heinonen-Koskela [HK96]. The Poincaré inequality is actually of type (1, 1). We also give a systematic construction of exam...
متن کاملec 2 01 3 INVERSE LIMIT SPACES SATISFYING A POINCARÉ INEQUALITY
We give conditions on Gromov-Hausdorff convergent inverse systems of metric measure graphs which imply that the measured Gromov-Hausdorff limit (equivalently, the inverse limit) is a PI space i.e., it satisfies a doubling condition and a Poincaré inequality in the sense of Heinonen-Koskela [HK96]. The Poincaré inequality is actually of type (1, 1). We also give a systematic construction of exam...
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ژورنال
عنوان ژورنال: Analysis and Geometry in Metric Spaces
سال: 2015
ISSN: 2299-3274
DOI: 10.1515/agms-2015-0002