Carbery's sharpened Lp triangle inequality fails for all p>2, but holds with c=p' for integer p>=2, and a sharp three-function version with optimal exponent c(p) is established.
Carlen, Rupert L
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Almost-Orthogonality in Lp Spaces: A Case Study with Grok
Carbery's sharpened Lp triangle inequality fails for all p>2, but holds with c=p' for integer p>=2, and a sharp three-function version with optimal exponent c(p) is established.