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Preprint in the OpenAI Math release

A strict inverse-first-power bound for univalent functions

OpenAI

Abstract

We prove a uniform upper bound for inverse-first-power integral means of normalized univalent disk maps with exponent strictly below 1/4. Consequently, the bounded universal integral-means spectrum satisfies , disproving Kraetzer's conjectured spectrum at p = −1.

open until 1 Jan 2028

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