Hardy-Lorentz空间上交换子的有界性

Boundedness of commutators on Hardy-Lorentz spaces

引入了一类Hardy-Lorentz空间,借助于其原子空间特征,利用交换子的L^p有界性的结论,得到了Calderon-Zygmund算子与BMO函数生成的交换子和Littlewood-Paley算子与BMO函数生成的交换子是从H_b^(p,q)(R^n)到L^(p,∞)(R^n)有界的.

Some Hardy-Lorentz spaces were introduced.Based on the characteristic of atomic decomposition of such spaces and by means of the L^p boundedness of commutators,the boundedness of the commutators generated by Calderon-Zygmund operators and BMO functions and the commutators generated by Littlewood-Paley operators and BMO functions from Hbp,q（Rn） to Lp,∞（Rn） were obtained.