数学物理学报 ›› 2022, Vol. 42 ›› Issue (3): 1191-1208.doi: 10.1007/s10473-022-0322-6
何骞君1, 吴新峰2, 燕敦验3
收稿日期:
2020-12-24
修回日期:
2021-06-06
出版日期:
2022-06-26
发布日期:
2022-06-24
通讯作者:
Xinfeng WU,E-mail:wuxf@cumtb.edu.cn
E-mail:wuxf@cumtb.edu.cn
基金资助:
Qianjun HE1, Xinfeng WU2, Dunyan YAN3
Received:
2020-12-24
Revised:
2021-06-06
Online:
2022-06-26
Published:
2022-06-24
Contact:
Xinfeng WU,E-mail:wuxf@cumtb.edu.cn
E-mail:wuxf@cumtb.edu.cn
Supported by:
摘要: In this paper, we study a boundedness property of the Adams type for multilinear fractional integral operators with the multilinear $L^{r^{\prime},\alpha}$-Hörmander condition and their commutators with vector valued BMO functions on a Morrey space and a predual Morrey space. Moreover, we give an endpoint estimate for multilinear fractional integral operators. As an application, we obtain the boundedness of multilinear Fourier multipliers with limited Sobolev regularity on a Morrey space.
中图分类号:
何骞君, 吴新峰, 燕敦验. BOUNDS FOR MULTILINEAR OPERATORS UNDER AN INTEGRAL TYPE CONDITION ON MORREY SPACES[J]. 数学物理学报, 2022, 42(3): 1191-1208.
Qianjun HE, Xinfeng WU, Dunyan YAN. BOUNDS FOR MULTILINEAR OPERATORS UNDER AN INTEGRAL TYPE CONDITION ON MORREY SPACES[J]. Acta mathematica scientia,Series A, 2022, 42(3): 1191-1208.
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