The (weak-$L^2$) Boundedness of The Quadratic Carleson Operator

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/168411We prove that the generalized Carleson operator with polynomial phase function of degree two is of weak type (2,2). For this, we introduce a new approach to the time-frequency analysis of the quadratic phase.48 pages, 9 figures. Final version, to appear in GAFA. Minor typos corrected, additional explanations givenClassical Analysis and ODEs42A99The (weak-$L^2$) Boundedness of The Quadratic Carleson Operatortext