广义Calderón-Zygmund算子交换子在变指数Lebesgue空间中的有界性
Boundedness of Commutators of a Class of Generalized Calderón-Zygmund Operators on Lebesgue Space with Variable Exponent
DOI: 10.12677/pm.2012.22013, PDF, HTML,  被引量    科研立项经费支持
作者: 马丽娜：赤峰学院数学与统计学院；李书海, 汤获：
关键词: Calderón-Zygmund算子；交换子；变指数；Calderón-Zygmund Operator; Commutator; Variable Exponent
摘要: 本文讨论了一类由广义的Calderón-Zygmund算子与Lipschitz函数生成的交换子，通过极大函数估计，得到了其在变指数Lebesgue空间中的有界性。
Abstract: In this paper, the author discusses commutators of a class of generalized Calderón-Zygmund operators generated by Lipschitz functions. By maximal function estimates, the boundedness of these commutators on Lebesgue space with variable exponent is obtained.
文章引用：马丽娜, 李书海, 汤获. 广义Calderón-Zygmund算子交换子在变指数Lebesgue空间中的有界性[J]. 理论数学, 2012, 2(2): 78-81. http://dx.doi.org/10.12677/pm.2012.22013

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