Breakthrough Tracker record
The remaining strict off-diagonal cases of Weissler’s conjecture
The authors give a self-contained proof of Weissler’s two-point inequality for 2 < p ≤ q < infinity and, by duality, 1 < p ≤ q < 2, including the previously known diagonal cases and resolving the missing strict off-diagonal ranges.
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- Stable ID
math-weissler-two-point-inequality-2026- Revision
math-weissler-two-point-inequality-2026.v2- Field
- Mathematics · Functional and harmonic analysis
- Evidence
- Tier 1 · Peer reviewed: No
- Record state
- Provisional · Provisional preprint claim
- Last checked
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
- Current v2 revised September 18, 2026
Why it matters
The result claims to complete the open off-diagonal part of a long-studied characterization in complex hypercontractivity.
Limits
The current v2 remains an unrefereed preprint without located independent specialist assessment. Its new self-contained framing includes prior diagonal cases; novelty is the previously missing strict off-diagonal range.
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.
- 2026-10-02 — Reviewed the self-contained v2, now covering 2 < p ≤ q and the dual range including known diagonal cases; provisional status retained.
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