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arXiv · 2502.19302

An Approach To Endpoint Problems in Oscillatory Singular Integrals

Alex Iosevich·Ben Krause·Hamed Mousavi
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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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Alex Iosevich, Ben Krause, Hamed Mousavi. 2025-02-26. An Approach To Endpoint Problems in Oscillatory Singular Integrals. https://arxiv.org/abs/2502.19302

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