Quantitative property A, Poincaré inequalities, L p -compression and L p -distortion for metric measure spaces
نویسندگان
چکیده
منابع مشابه
Quantitative property A , Poincaré inequalities , L p - compression and L p - distortion for metric measure spaces . Romain Tessera
We introduce a quantitative version of Property A in order to estimate the Lp-compressions of a metric measure space X. We obtain various estimates for spaces with sub-exponential volume growth. This quantitative property A also appears to be useful to yield upper bounds on the Lpdistortion of finite metric spaces. Namely, we obtain new optimal results for finite subsets of homogeneous Riemanni...
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ژورنال
عنوان ژورنال: Geometriae Dedicata
سال: 2008
ISSN: 0046-5755,1572-9168
DOI: 10.1007/s10711-008-9286-5