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Brennan’s conformal-integrability conjecture

The target concerns the full conjectured exponent interval for arbitrary simply connected domains.

Progress records 1

Understand the problem ↓

1 record · How we rate progress

Understanding the problem

Read the background

The target concerns the full conjectured exponent interval for arbitrary simply connected domains. Bounds for smoother domains or smaller exponent ranges do not establish it.

The endpoints are excluded. The claim concerns conformal bijections and the specified integral-means class; it should not be read as an endpoint integrability theorem.

Why it matters

If correct, reaches the full open exponent interval in Brennan’s conjecture without imposing boundary regularity.

What counts as progress

A sourced resolution or substantial advance on the precise target, with hypotheses, prior context, and verification evidence stated separately.

What to watch for

  • Assess the precise statement and assumptions before comparing results.
  • The endpoints are excluded. The claim concerns conformal bijections and the specified integral-means class; it should not be read as an endpoint integrability theorem.
  • Track independent assessments, dependencies, corrections, and withdrawals separately from importance.

Background review: 2026-10-11. Selected sources:

Website timeline

Publication dates and editorial changes.