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arXiv · 2604.22690

Continuity properties of strongly singular integral operators for extreme values of $p$

Fabio Berra·Gladis Pradolini·Wilfredo Ramos·Ignacio Viltes
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Abstract

In this work, we establish continuity properties of strongly singular integral operators for extreme values of $p$. Particularly, weighted $L^\infty$-$BMO$ boundedness is obtained, generalizing Miyachi's result to the context of Muckenhoupt weights. As an application, we get an alternative proof of Chanillo's weighted $L^p$ estimates via extrapolation techniques.

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Fabio Berra, Gladis Pradolini, Wilfredo Ramos, Ignacio Viltes. 2026-04-24. Continuity properties of strongly singular integral operators for extreme values of $p$. https://arxiv.org/abs/2604.22690

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