@article{Lv2026, 
author = {Peize Lv and Xiangxing Tao},
title = {On quantitative weighted bounds for commutators of rough singular integral operators},
year = {2026},
journal = {AIMS Mathematics},
volume = {11},
number = {1},
pages = {2111-2130},
keywords = {quantitative weighted estimate, commutator, singular integral, rough kernel of Lq type},
url = {https://www.sciopen.com/article/10.3934/math.2026087},
doi = {10.3934/math.2026087},
abstract = {Let    Ω be a homogeneous function of degree zero, integrable, and have a mean value of zero on the unit sphere              S              n      −      1      ,    n  ≥  2. Let        T    Ω   be the homogeneous convolution singular integral operator with kernel              Ω      (      x      )                      |            x                        |                n            . In this paper, we proved some quantitative two-weight estimates for the commutator,    [  b  ,      T    Ω    ], with a    B  M  O symbol    b and the singular integral operator        T    Ω   under the condition    Ω  ∈      L    q    (            S              n      −      1        ) for    q  ∈  (  2  ,  ∞  ).}
}