Nazarov's Conjecture on Truncations for Fractional Laplacians
Nazarov conjectured that for $s \in (1, 3/2)$ the quadratic form of the spectral fractional Dirichlet Laplacian strictly increases under $u \mapsto |u|$ when $u$ changes sign. Proved and substantially generalized, with the same conclusion for the restricted form.
Exact FrontierDelta
Scope and record
Occurred: Aug 5, 2026
Delta type: SOURCE CLAIM
Assumptions: VibeMathed verification: unreviewed. Publication: preprint. AI contribution: ai-co-developed. Imported under CC BY 4.0.
Canonical aliases: Nazarov's Conjecture on Truncations for Fractional Laplacians · Nazarov truncation
Confidence: Not scored
Registry verification: unreviewed · preprint · resolved
Attribution
VibeMathed
registry · event recorded by
Claude
model · ai model contributor · Anthropic
Egor Ignatev
human · human collaborator
Alexander I. Nazarov
human · human collaborator
Pavel Nichitenko
human · human collaborator
Artur Tursunbaev
human · human collaborator
Lineage and corrections
This event attributed to Egor Ignatev
This event attributed to Alexander I. Nazarov
This event attributed to Pavel Nichitenko
This event attributed to Artur Tursunbaev
This event attributed to Claude