Bocher-Riesz operator;
commutator;
weighted B MO(ω) space;
D O I:
暂无
中图分类号:
O177 [泛函分析];
学科分类号:
070104 ;
摘要:
In this note, the author prove that maximal Bocher-Riesz commutator Bbδ , generated by operator Bδ , and function b ∈ BMO(ω) is a bounded operator from Lp(μ) into Lp (ν), where ω∈ (μν-1 )1 p , μ , ν∈ Ap for 1 < p < ∞. The proof relies heavily on the pointwise estimates for the sharp maximal function of the commutator Bbδ, .