Pu Zhang, Jiecheng Chen
Abstract
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.
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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.
Key concepts: Mathematics, Hardy space, Type (biology), Singular integral, Kernel (algebra), Homogeneous, Pure mathematics, Singular integral operators