On the uniform convexity of L^p

By H. Hanche-Olsen. 2005

127 citations recorded by the source corpus.

. We present a short, direct proof of the uniform convexity of L p spaces for 1 < p < ∞ .

Subfields: Applied Mathematics, Computational Theory and Mathematics, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/d8b874adf38127af6922cfa443853d13157953ee

Citations in the corpus

• Embeddings of Discrete Groups and the Speed of Random Walks (2007, unknown): “It was shown in [8] (see also [18]) thatS2(Lp) ≤ √ p− 1 for 2≤ p ∞ andSp(Lp) ≤ 1 for 1≤ p ≤ 2 (the order of magnitude of these constants was first calculated in[21]).”