Uniform bounds for oscillatory and polynomial Carleson operators
Classical Analysis and ODEs
2020-12-17 v1
Abstract
We prove that a variety of oscillatory and polynomial Carleson operators are uniformly bounded on the family of parameters under considerations. As a particular application of our techniques, we prove uniform bounds for oscillatory Carleson operators near a single scale version of the quadratic Carleson operator.
Cite
@article{arxiv.2012.08913,
title = {Uniform bounds for oscillatory and polynomial Carleson operators},
author = {João P. G. Ramos},
journal= {arXiv preprint arXiv:2012.08913},
year = {2020}
}
Comments
12 pages; final version