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Fractional Poincaré and logarithmic Sobolev inequalities for measure spaces

✍ Scribed by Gressman, Philip T.


Book ID
120372417
Publisher
Elsevier Science
Year
2013
Tongue
English
Weight
829 KB
Volume
265
Category
Article
ISSN
0022-1236

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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.