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.
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The author was partially supported by grant 2-CEx06-11-34 of the Romanian Government.
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Open Access This is an open access article distributed under the terms of the Creative Commons Attribution Noncommercial License (https://creativecommons.org/licenses/by-nc/2.0), which permits any noncommercial use, distribution, and reproduction in any medium, provided the original author(s) and source are credited.
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Lie, V. The (Weak-L 2) Boundedness of the Quadratic Carleson Operator. Geom. Funct. Anal. 19, 457–497 (2009). https://doi.org/10.1007/s00039-009-0010-x
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DOI: https://doi.org/10.1007/s00039-009-0010-x