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Bessel pairs and optimal Hardy and Hardy–Rellich inequalities

✍ Scribed by Nassif Ghoussoub; Amir Moradifam


Publisher
Springer
Year
2010
Tongue
English
Weight
509 KB
Volume
349
Category
Article
ISSN
0025-5831

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For any p > 1 and for any sequence f j g I j1 of nonnegative numbers, a classical inequality of Hardy gives that for each n P NY unless all j 0, where the constant pap À 1 p is best possible. Here, we investigate this inequality in the case p 2, and show how it can be interpreted in terms of symmet