科研之友
微信
新浪微博
Facebook
分享链接
摘要
We obtain endpoint estimates for multilinear singular integral operators whose kernels satisfy regularity conditions significantly weaker than those of the standard Calderon-Zygmund kernels. As a consequence, we deduce endpoint L(1) x ... x L(1) to weak L(1/m) estimates for the mth-order commutator of Calderon. Our results reproduce known estimates for m = 1, 2 but are new for m >= 3. We also explore connections between the 2nd-order higher-dimensional commutator and the bilinear Hilbert transform and deduce some new off-diagonal estimates for the Former.
- 出版日期2010-4
- 单位中山大学
