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粗糙核的奇异积分算子交换子的有界性

Boundedness of commutators of singular integral operators with non-smooth kernels
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摘要 设χ是一个具有无限测度的齐次空间,T是一粗糙核的奇异积分算子,讨论了以下两个问题:1)T与Lipschitz函数生成的交换子的有界性;2)T与加权Lipschitz函数生成的交换子的有界性. Let X be a space of homogeneous type of infinite measure , T be a singular integral operator with non-smooth kernels. This paper discussed the following two questions : 1 ) the boundedness of commutator generated by Lipschitz functions and T; 2 ) the boundedness of commutator generated by weighted Lipschitz functions and T.
作者 张学铭
机构地区 暨南大学数学系
出处 《哈尔滨商业大学学报(自然科学版)》 CAS 2013年第2期237-241,244,共6页 Journal of Harbin University of Commerce:Natural Sciences Edition
基金 国家自然科学基金资助项目(10771221) 暨南大学青年自然科学基金项目(51208036)
关键词 齐次空间 极大函数 粗糙核的奇异积分算子 交换子 LIPSCHITZ空间 homogeneous spaces maximal function singular integral operators with non-smooth kernels commutator Lipschitz functions
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