English

Compactness of bilinear singular integral with mild kernel regularity

Classical Analysis and ODEs 2026-04-30 v1

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 T1T1 theorem. A novel weak compactness property condition is also introduced.

Keywords

Cite

@article{arxiv.2604.26299,
  title  = {Compactness of bilinear singular integral with mild kernel regularity},
  author = {Jinsong Li},
  journal= {arXiv preprint arXiv:2604.26299},
  year   = {2026}
}
R2 v1 2026-07-01T12:40:31.592Z