Boundedness for commutators of Bochner-Riesz operators below a critical index

来源 :中国科学A辑（英文版） | 被引量 : 0次 | 上传用户：mscspn

【摘要】

：

In this paper, the authors obtain a necessary and sufficient condition for the Lp boundedness of commutators generated by Bochner-Riesz operators below a critic

【作者】

：

Shan-zhen LU Xia XIA

【机构】

：

School of Mathentical Sciences

【出处】

：

中国科学A辑（英文版）

【发表日期】

：

2004年期

【关键词】

：

commutator Bochner-Riesz operators Lipschitz functions

【基金项目】

：

国家自然科学基金;教育部高等学校博士学科点专项科研基金

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In this paper, the authors obtain a necessary and sufficient condition for the Lp boundedness 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.

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Boundedness for commutators of Bochner-Riesz operators below a critical index

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