| 含参数加权极大Lebesgue空间中次线性算子的有界性质 |
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| 引用本文： | 张蕾,石少广,郑庆玉.含参数加权极大Lebesgue空间中次线性算子的有界性质[J].数学学报,2017,60(3):521-530. |
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| 作者姓名： | 张蕾 石少广 郑庆玉 |
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| 作者单位： | 临沂大学数学与统计学院 临沂 276005 |
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| 基金项目： | 国家自然科学基金资助项目（11301249，11271175） |
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| 摘 要： | 引进一类含参数加权极大Lebesgue空间并得到满足一定尺寸条件的次线性算子在该类空间中的有界性质.特别地,还考虑了该类空间上次线性算子与BMO函数生成交换子的相应有界性质.
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| 关 键 词： | 含参数加权极大Lebesgue空间 次线性算子 交换子 |
On the Boundednesss of Sublinear Operators on Weighted Grand Lebesgue Space with Parameter |
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| Lei ZHANG,Shao Guang SHI,Qing Yu ZHENG.On the Boundednesss of Sublinear Operators on Weighted Grand Lebesgue Space with Parameter[J].Acta Mathematica Sinica,2017,60(3):521-530. |
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| Authors: | Lei ZHANG Shao Guang SHI Qing Yu ZHENG |
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| Institution: | School of Mathematics and Statistics, Linyi University, Linyi 276005, P. R. China |
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| Abstract: | A version of weighted grand Lebesgue space with parameter is introduced. The boundedness of sublinear operators under certain size conditions on these spaces are discussed. Particularly, the corresponding results for the commutators formed by certain sublinear operators and BMO functions are also considered. |
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| Keywords: | Weighted grand Lebesgue space with parameter sublinear operator commutator |
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