中文摘要：

研究带Hrmander型核的单边奇异积分算子T~＋的加权有界性.首先利用Coifman和Fefferman的好λ不等式给出T~＋加权L~p（1〈P〈∞）有界性的一个新证明.与Lorente-Riveros-Toorre的方法相比,新方法克服了Fefferman-Stein不等式等一些经典的技术困难.利用单边C-Z分解还得到T~＋的加权弱（1,1）有界性.特别地,我们证明上述加权有界性结论是最佳的.

英文摘要：

The one-sided version of singular integral operators T＋ with HSrmander type kernels are studied. We give a new proof of the weighted Lp （1 〈 p 〈 co） bounded- ness for T＋ by adopting the well known good A inequality of Coifman and Fefferman＇s to one-sided case. As we will see in the paper, we avoid some classical techniques comparing with Lorente-Riveros-Toorre＇s theorem, such as Fefferman Stein inequal- ity. The corresponding weighted weak type （1, 1） estimates are also obtained by using one-sided C-Z decomposition. Particularly, we show that the weighted boundedness is sharp in some sense.