## The (Weak-L 2) Boundedness of the Quadratic Carleson Operator

*Lie, Victor*;

- Publisher: Springer Nature
- Journal: Geometric and Functional Analysis,volume 19,issue 2,pages457-497 (issn: 1016-443X)
Related identifiers: - Subject: 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.

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