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Uniform bounds for oscillatory and polynomial Carleson operators

Published 16 Dec 2020 in math.CA | (2012.08913v1)

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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