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New Sobolev spaces via generalized Poincaré inequalities on metric measure spaces

✍ Scribed by Lixin Yan; Dachun Yang


Publisher
Springer-Verlag
Year
2006
Tongue
French
Weight
407 KB
Volume
255
Category
Article
ISSN
0025-5874

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Taking lim sup L Ä lim k Ä in both sides of (2.10), by (i), (2.8), (2.9), and the fact that lim k Ä \* k =1 we get a contradiction. Hence, , is not identically zero.