{"id":"palomar/PALOMAR-2026-09-18-000002","url":"https://github.com/anastasiosfragkosmath/quadratic-carleson-palomar-submission/tree/3d3cf4316acac4c23140059a78fb570b1440394b","json":"https://data.palomar-registry.org/entries/PALOMAR-2026-09-18-000002-v1.json","repo":"https://github.com/anastasiosfragkosmath/quadratic-carleson-palomar-submission","tags":["math.CA","math.FA","msc:42B20","harmonic-analysis","carleson-operator","lean-formalization"],"score":0,"title":"Endpoint estimates for Stein's purely quadratic Carleson operator","trust":"high","domain":"math.CA","source":"palomar","authors":["Anastasios Fragkos"],"reviews":0,"subject":"math.CA","summary":"A Lean 4 formalization of four principal endpoint assertions from Fragkos, Krause, and Lacey's Endpoint Estimates for Stein's Purely Quadratic Carleson Operator: two failures of modular estimates below t log₂ t, a full-modulation L log L endpoint estimate, and a lacunary L (log₂ L)² log₄ L endpoint estimate.","category":"research","comments":0,"disputed":false,"division":"math","mentions":0,"verified":true,"discussed":0,"published":"2026-09-18","reactions":{},"formalized":true,"formalizes":[{"title":"Endpoint Estimates for Stein's Purely Quadratic Carleson Operator","identifier":"https://arxiv.org/abs/2609.04101v1","relationship":"formalizes"}]}