analysis / Functional analysis
For $p \ge 2$, does Carbery's proposed many-function almost-orthogonality inequality hold with the pairwise overlap coefficients raised to the power $2$ - and if not, what is the largest possible exponent?
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Append-only history
exponent 2 fails for every p > 2; the sharp exponent p' form is proved for integer p ≥ 2
Research memory
For $p \ge 2$, does Carbery's proposed many-function almost-orthogonality inequality hold with the pairwise overlap coefficients raised to the power $2$ - and if not, what is the largest possible exponent?
exponent 2 fails for every p > 2; the sharp exponent p' form is proved for integer p ≥ 2
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