变指数中心Morrey空间上的分数次积分多线性交换子
Multilinear Commutators of Fractional Integral Operator on Central Morrey Spaces with Variable Exponent
DOI: 10.12677/pm.2024.145185, PDF,  被引量    科研立项经费支持
作者: 辛银萍：兰州财经大学信息工程与人工智能学院，甘肃 兰州
关键词: 分数次积分；多线性交换子；-中心BMO空间；变指数-中心Morrey空间；Fractional Integral Operator； Multilinear Commutators； -Central BMO Space； Variable Exponent -Central Morrey Space
摘要: 该文借助分数次积分在变指数Lebesgue空间的有界性，通过应用函数的分层分解和实变技巧，得到了由分数次积分和λ-中心BMO函数生成的多线性交换子在变指数中心Morrey空间上的有界性。
Abstract: With the help of the boundedness of the fractionalintegral operator on Lebesgue space with variable exponent, by applying hierarchical decomposition of function and real variable techniques, the boundedness of multilinear commutators generated by fractional singular integrals and withλ-central BMO symbols is obtained on central Morrey spaces with variable exponent.
文章引用：辛银萍. 变指数中心Morrey空间上的分数次积分多线性交换子[J]. 理论数学, 2024, 14(5): 281-292. https://doi.org/10.12677/pm.2024.145185

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