Breakthrough Tracker record

The remaining strict off-diagonal cases of Weissler’s conjecture

The authors prove the missing strict off-diagonal parameter ranges in Weissler’s conjecture. Their argument establishes the two-point inequality for every 2 < p < q < infinity and, by duality, every 1 < p < q < 2.

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Stable ID: math-weissler-two-point-inequality-2026
Revision: math-weissler-two-point-inequality-2026.v1
Field: Mathematics · Functional and harmonic analysis
Evidence: Tier 1 · Peer reviewed: No
Record state: Provisional · Provisional preprint claim
Last checked: 2026-07-29

AI role

The manuscript acknowledges AI tools. The authors state that they checked and wrote the final mathematical arguments and proofs.

Record details

Problem or result: The two-point inequality underlying Weissler’s characterization of complex hypercontractivity
Authors: Yi C. Huang and Paata Ivanisvili
Institutions: Nanjing Normal University and University of California, Irvine
Result date: Preprint submitted July 22, 2026

Why it matters

The result claims to complete the open off-diagonal part of a long-studied characterization in complex hypercontractivity.

Limits

This is a first-version preprint without located independent specialist assessment or peer review. The claim is about the specified strict off-diagonal ranges; earlier diagonal cases are separate prior work.

Sources

Primary: Yi C. Huang and Paata Ivanisvili, The missing two-point inequality in Weissler's conjecture

Correction and revision history

2026-07-23 — Prepared as a provisional tracker addition with the strict parameter ranges and the authors’ AI disclosure made explicit.

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