On the optimal $L_p$-$L_4$ Khintchine inequality

Published 14 Mar 2025 in math.PR, math.FA, and math.MG | (2503.11869v1)

Abstract: We derive optimal dimension independent constants in the classical Khintchine inequality between the $p$th and fourth moment for $p\ge 4$. As an application we deduce stability estimates for the Khintchine inequality between the $p$th and second moment for $p \geq 4$.

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