2 papers
math.CA2026
Rough averages of triangular Hilbert transforms
Fred Yu-Hsiang Lin, Lenka Slavíková
We study a bilinear singular integral operator obtained by taking rough averages of certain directional variants of the triangular Hilbert transform. This operator can be interpret…
math.CA2024
Bilinear Rough Singular Integrals near the Critical Integrability via Sharp Fourier Multiplier Criteria
Georgios Dosidis, Bae Jun Park, Lenka Slavikova
We establish boundedness results for bilinear singular integral operators with rough homogeneous kernels whose restriction to the unit sphere belongs to the Orlicz space $L(\log L)…