带变量核分数次极大算子在λ-中心Morrey 空间上的加权估计
Weighted Estimates of Fractional Maximal Operator with Variable Kernel on λ-Central Morrey Spaces
DOI: 10.12677/PM.2023.133068, PDF, HTML, 下载: 207  浏览: 308  科研立项经费支持
作者: 杨雨荷, 辛 珍, 李巧霞, 徐苏苏：伊犁师范大学数学与统计学院，新疆 伊宁；伊犁师范大学应用数学研究所，新疆 伊宁
关键词: 加权λ-中心 Morrey 空间；分数次极大算子；变量核；Weighted λ-Central Morrey Space； Fractional Maximal Operator； Variable Kernel
摘要: 利用权不等式及实变方法，并借助于Lp空间上的加权有界性，得到了变量核分数次极大算子在加权 λ-中心 Morrey 空间上的有界性。
Abstract: By applying the weighted inequalities and the real variable methods, the boundedness of the fractional maximal operator with variable kernel is obtained in the weighted λ-central Morrey spaces with the help of the corresponding boundedness on the Lp spaces.
文章引用：杨雨荷, 辛珍, 李巧霞, 徐苏苏. 带变量核分数次极大算子在λ-中心Morrey 空间上的加权估计[J]. 理论数学, 2023, 13(3): 636-643. https://doi.org/10.12677/PM.2023.133068

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