Let Baδ^A. be the maxiamal multilinear Bochner-Riesz operators generated by Bochner Riesz operators and D^αA∈ Lipβ（｜α｜= m）, The continuity of the operator on some Hardy and Herz type Hardy is obtained.
In this paper, the authors obtain a necessary and sufficient condition for the LP bound-edness of commutators generated by Bochner-Riesz operators below a critical index and Lipschitz functions in two dimensional case...In this paper, the authors obtain a necessary and sufficient condition for the LP bound-edness of commutators generated by Bochner-Riesz operators below a critical index and Lipschitz functions in two dimensional case. The authors also discuss a similar problem for higher dimensions.展开更多
In this paper, we obtain certain Lpw（Rn）-mapping properties for the maximal operator associated with the commutators of quasiradial Bochner-Riesz means with index δ under certain surface condition on Σed , provide...In this paper, we obtain certain Lpw（Rn）-mapping properties for the maximal operator associated with the commutators of quasiradial Bochner-Riesz means with index δ under certain surface condition on Σed , provided that δ （n-1）/2, b ∈ BMO（Rn）, 1 p ∞ and w ∈ A1 . Moreover, if δ （n-1）/2, then we prove that the above maximal operator admits weak type （H1w（Rn）, L1w（Rn））-mapping properties for b ∈ BMO（Rn） and w ∈ A1 under the surface condition on Σed .展开更多
文摘Let Baδ^A. be the maxiamal multilinear Bochner-Riesz operators generated by Bochner Riesz operators and D^αA∈ Lipβ（｜α｜= m）, The continuity of the operator on some Hardy and Herz type Hardy is obtained.
基金This work was partially supported by the National Natural Science Foundation of China (Grant No. 10571014)the Specialized Research Fund for the Doctoral Program of Higher Education of China (Grant No.20040027001)
文摘In this paper, the authors obtain a necessary and sufficient condition for the LP bound-edness of commutators generated by Bochner-Riesz operators below a critical index and Lipschitz functions in two dimensional case. The authors also discuss a similar problem for higher dimensions.
基金Supported by School of Education, Korea University Grant in 2011
文摘In this paper, we obtain certain Lpw（Rn）-mapping properties for the maximal operator associated with the commutators of quasiradial Bochner-Riesz means with index δ under certain surface condition on Σed , provided that δ （n-1）/2, b ∈ BMO（Rn）, 1 p ∞ and w ∈ A1 . Moreover, if δ （n-1）/2, then we prove that the above maximal operator admits weak type （H1w（Rn）, L1w（Rn））-mapping properties for b ∈ BMO（Rn） and w ∈ A1 under the surface condition on Σed .
