奇异积分交换子在Hardy型空间上的估计

Commutators of singular integrals on Hardy type spaces

设TΩ是具有齐性核的奇异积分算子,Tb,mΩ是它与BMO函数b生成的交换子,当核函数Ω满足Dini-条件时,证明了它在一类原子Hardy空间和Herz型原子Hardy空间上的有界性.

Let T_Ω be the singular integral with homogeneous kernel, and Ω and T^(b,m)_Ω be the commutators generated by T_Ω and a BMO function b. The boundedness properties of T^(b,m)_Ω on a kind of atomic Hardy spaces and Herz-type Hardy spaces are established, under some assumptions such as the Dini-condition.