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

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

2007-10-11

arxiv.org/abs/0710.2168v2

Mathematics

Classical Analysis and ODEs

48 pages, 9 figures. Final version, to appear in GAFA. Minor typos corrected, additional explanations given

Scientific paper

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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