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arXiv · 2012.08913

Uniform bounds for oscillatory and polynomial Carleson operators

João P. G. Ramos
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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.

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João P. G. Ramos. 2020-12-16. Uniform bounds for oscillatory and polynomial Carleson operators. https://arxiv.org/abs/2012.08913

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