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arXiv · 2604.26299

Compactness of bilinear singular integral with mild kernel regularity

Jinsong Li
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Abstract

This paper extends the characterization of compactness established in \cite{cao2024} to bilinear singular integral operators with mild kernel regularity. The exponent we obtain coincides with the best known sufficient condition for the classical bilinear $T1$ theorem. A novel weak compactness property condition is also introduced.

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Jinsong Li. 2026-04-29. Compactness of bilinear singular integral with mild kernel regularity. https://arxiv.org/abs/2604.26299

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