本文在紧Lie群上原子Hardy空间H^p(G)(0<P<1)中,对核为s_R^(δ…δ_m,a_1…a_m)=sum from λ∈A(1-|λ+ρ|^(a_1)/R^(a_1))_+~δ…(1-|λ+ρ|~a_m/R^a_m)_+~δ~md_λx_λ的多重广义Bochner-Riesz平均算子,在临界价时得到了极大算...本文在紧Lie群上原子Hardy空间H^p(G)(0<P<1)中,对核为s_R^(δ…δ_m,a_1…a_m)=sum from λ∈A(1-|λ+ρ|^(a_1)/R^(a_1))_+~δ…(1-|λ+ρ|~a_m/R^a_m)_+~δ~md_λx_λ的多重广义Bochner-Riesz平均算子,在临界价时得到了极大算子的弱型估计和算子的极大强平均有界性。展开更多
In this note, the authors show the boundedness of the maximal commutators of Bocher-Riesz operator B^δ and that of maximal commutator Bδ1^b, generated by B^δ and a Lipschitz function b mapping from Mp^q（R^n） into...In this note, the authors show the boundedness of the maximal commutators of Bocher-Riesz operator B^δ and that of maximal commutator Bδ1^b, generated by B^δ and a Lipschitz function b mapping from Mp^q（R^n） into BMO space and also maps from Mp^q（Rn） into L（βn/- q）.展开更多
In this note, the author prove that maximal Bocher-Riesz commutator Bδ,＊^b generated by operator Bδ,＊ and function b∈ BMO（ω） is a bounded operator from L^p（μ） into L^p（ν）, where w∈ （μν^- 1）^1/p,μ...In this note, the author prove that maximal Bocher-Riesz commutator Bδ,＊^b generated by operator Bδ,＊ and function b∈ BMO（ω） is a bounded operator from L^p（μ） into L^p（ν）, where w∈ （μν^- 1）^1/p,μ,v ∈ Ap for 1 〈 p 〈 ∞. The proof relies heavily on the pointwise estimates for the sharp maximal function of the commutator Bδ,＊^b.展开更多
文摘本文在紧Lie群上原子Hardy空间H^p(G)(0<P<1)中,对核为s_R^(δ…δ_m,a_1…a_m)=sum from λ∈A(1-|λ+ρ|^(a_1)/R^(a_1))_+~δ…(1-|λ+ρ|~a_m/R^a_m)_+~δ~md_λx_λ的多重广义Bochner-Riesz平均算子,在临界价时得到了极大算子的弱型估计和算子的极大强平均有界性。
基金Supported by NNSF (10961015, 10871173)Supported by JXNSF (2008 Gzs0051,GJJ08169)
文摘In this note, the authors show the boundedness of the maximal commutators of Bocher-Riesz operator B^δ and that of maximal commutator Bδ1^b, generated by B^δ and a Lipschitz function b mapping from Mp^q（R^n） into BMO space and also maps from Mp^q（Rn） into L（βn/- q）.
基金supported by the NNSF (10961015, 11261023) of Chinathe Jiangxi Natural Science Foundation of China (20122BAB201011), GJJ12203
文摘In this note, the author prove that maximal Bocher-Riesz commutator Bδ,＊^b generated by operator Bδ,＊ and function b∈ BMO（ω） is a bounded operator from L^p（μ） into L^p（ν）, where w∈ （μν^- 1）^1/p,μ,v ∈ Ap for 1 〈 p 〈 ∞. The proof relies heavily on the pointwise estimates for the sharp maximal function of the commutator Bδ,＊^b.
