Weak $L^2$ bound of the lacunary Carleson operator for the non-linear Fourier transform
Classical Analysis and ODEs
2025-07-24 v5 Spectral Theory
Abstract
We prove the weak boundedness of a lacunary maximal function of the -valued nonlinear Fourier transform if the potential is in .
Keywords
Cite
@article{arxiv.2210.00309,
title = {Weak $L^2$ bound of the lacunary Carleson operator for the non-linear Fourier transform},
author = {Gevorg Mnatsakanyan},
journal= {arXiv preprint arXiv:2210.00309},
year = {2025}
}
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15 pages