Manuscript OpenAI@2026-10-07 · OpenAI.tex · remark · 6a931f8f
Remark: 072-01. Brennan's conjecture and sharp inverse-square integral means
Manuscript map · lines 3905–3914
OpenAI@2026-10-07#rem:oai-p-072-01
Authors: OpenAI. Family 072.
Title: Brennan's conjecture and sharp inverse-square integral means.
Abstract: We prove Brennan's conjecture: if a simply connected plane domain admits a conformal bijection φ onto the unit disk, then $|{}varphi'|{}s$ is area-integrable for every $4/3{}lt s{}lt 4$. We also prove the sharp inverse-square integral-means exponent $B_{{}mathcal S}(-2)=1$ for the normalized schlicht class ${}mathcal S$.
This abstract is a catalogue record. It is not a verification and not a premise. It does not close O.1. O.1 stays NOT_CLOSED. No quantum coefficient is admitted. No compilation is asserted.
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