The (weak-$L^2$) Boundedness of The Quadratic Carleson Operator
- Publisher: eScholarship, University of California
Geometry and Topology | Mathematics | Time-frequency analysis | 42A99 | Mathematics - Classical Analysis and ODEs | quadratic phase | Analysis | Carleson’s theorem
We 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.