A note on commutators of Bochner-Riesz operator

被引:2
作者
Lu S. [1 ]
Xia X. [1 ]
机构
[1] School of Mathematical Sciences, Beijing Normal University
基金
中国国家自然科学基金;
关键词
BMO function; Bochner-Riesz operator; Commutator;
D O I
10.1007/s11464-007-0026-1
中图分类号
学科分类号
摘要
In terms of continuous decomposition and choosing an appropriate BMO function, the authors obtain a sharp necessary condition for L p boundedness of the commutators generated by Bochner-Riesz operators below the critical index and BMO functions. © 2007 Higher Education Press and Springer-Verlag.
引用
收藏
页码:439 / 446
页数:7
相关论文
共 3 条
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Herz C., On the mean inversion of Fourier and Hankel transforms, Proc Nat Acad Sci USA, 40, pp. 996-999, (1954)
[2]  
Carleson L., Sjolin P., Oscillatory integrals and multiplier problem for disc, Studia Math, 44, pp. 287-299, (1972)
[3]  
Hu G.E., Lu S.Z., The commutator of the Bochner-Riesz operator, Tôhoku Math J, 48, pp. 259-266, (1996)