The (weak-$L^2$) Boundedness of The Quadratic Carleson Operator
Classical Analysis and ODEs
2008-09-06 v2
Abstract
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.
Cite
@article{arxiv.0710.2168,
title = {The (weak-$L^2$) Boundedness of The Quadratic Carleson Operator},
author = {Victor Lie},
journal= {arXiv preprint arXiv:0710.2168},
year = {2008}
}
Comments
48 pages, 9 figures. Final version, to appear in GAFA. Minor typos corrected, additional explanations given