3 papers
math.CA2026
Endpoint Criteria for One-Dimensional Bilinear Rough Singular Integrals
Binwei Dan, Qingying Xue
We prove endpoint theorems for one-dimensional bilinear rough singular integrals. Our starting point is a sharp structural characterization of the associated angular multiplier. Fo…
math.CA2026
Bilinear rough singular integrals under a fractional geometric condition
Binwei Dan, Moyan Qin, Qingying Xue
We establish the Banach-range boundedness of bilinear rough singular integral operators, together with their maximal and maximally truncated forms, under the fractional geometric c…
math.CA2025
Sparse domination for rough multilinear singular integrals
Binwei Dan, Qingying Xue
Let be a function on , homogeneous of degree zero, and satisfy a cancellation condition on the unit sphere . In this paper, we show that t…