Hardy operators and the commutators on Hardy spaces

[摘要] In this paper, the boundedness of the classic Hardy operator and its adjoint on Hardy spaces is obtained. We also discuss the boundedness for the commutators generated by the classic Hardy operator and its adjoint with $BMO$ and $CMO(\mathbb{R}^{+})$ functions on Hardy spaces.

[学科分类] 电力

[关键词] Hardy operator;Commutators;\(BMO\);\(CMO\);Hardy space