An Approach To Endpoint Problems in Oscillatory Singular Integrals

Published 26 Feb 2025 in math.CA | (2502.19302v1)

Abstract: In this note we provide a quick proof that maximal truncations of oscillatory singular integrals are bounded from $L^{1(\mathbb{R})$} to $L^{{1,\infty}(\mathbb{R})$.} The methods we use are entirely elementary, and rely only on pigeonholing and stationary phase considerations.

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