极大算子在加权λ-中心Morrey空间上的加权估计
Weighted Estimates of Maximal Operator on Weighted λ-Central Morrey Spaces
DOI: 10.12677/PM.2022.122029, PDF,    科研立项经费支持
作者: 杨雨荷*, 李巧霞, 辛 珍: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空间极大算子粗糙核Weighted λ-Central Morrey Space Maximal Operator Rough Kernel
摘要: 利用权不等式及实变方法,得到了带粗糙核极大算子在加权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 maximal operator with rough kernel is obtained in the weighted λ-central Morrey spaces.
文章引用:杨雨荷, 李巧霞, 辛珍. 极大算子在加权λ-中心Morrey空间上的加权估计[J]. 理论数学, 2022, 12(2): 252-256. https://doi.org/10.12677/PM.2022.122029

参考文献

[1] Morrey, C. (1938) On Solutions of Quasi-Linear Elliptic Partial Differential Equations. Transactions of the American Mathematical Society, 43, 126-166. [Google Scholar] [CrossRef
[2] Alvarez, J., Guz-man-Partida, M. and Lakey, J. (2000) Spaces of Bounded λ-Central Mean Oscillation. Morrey Spaces, and λ-Central Carleson Measuers. Collectanea Mathematica, 51, 1-48.
[3] Vakhtang, K. and Alexander, M. (2007) Weighted Criteria for Generalized Fractional Maximal Functions and Potentials in Lebesgue Spaces with Variable Exponent. Integral Transforms and Special Functions, 18, 609-628. [Google Scholar] [CrossRef
[4] Tao, X.X. and Shi, Y.L. (2011) Multilinear Commutators of Calderon-Zygmumd Operator on λ-Central Morrey Spaces. Advances in Mathematics, 40, 47-59.
[5] Yu, X. and Tao, X.X. (2013) Boundedness for a Class of Generalized Commutators on λ-Central Morrey Spaces. Acta Mathematica Sinica English Series, 29, 1917-1926. [Google Scholar] [CrossRef
[6] 陶双平, 高荣. 多线性分数次积分和极大算子在Morrey 空间上的加权估计[J]. 山东大学学报(理学版), 2018, 53(6): 30-37.
[7] 赵凯, 董鹏娟, 邵帅. 分数次积分算子交换子在λ-中心Morrey空间上的加权有界性[J]. 山东大学学报(理学版), 2011, 46(12): 88-92.
[8] Yu, X., Zhang, H.H. and Zhao, G.P. (2016) Weighted Boundedness of Some Integral Operators on Weighted λ-Central Morrey Spaces. Applied Mathematics—A Journal of Chinese Universities, 31, 331-342. [Google Scholar] [CrossRef
[9] 陶双平, 陈转转. Marcinkiewicz积分及其交换子在加权λ-中心Morrey空间上的加权有界性[J]. 西北师范大学学报(自然科学版), 2019, 55(4): 1-8.
[10] Duoandikoetxea, J. (1993) Weighted Norm Inequalities for Homogeneous Singular Integrals. Transactions of the American Mathematical Society, 336, 869-880. [Google Scholar] [CrossRef
[11] Grafakos, L. (2008) Classical and Modern Fourier Analysis. Prentice Hall, New York, 279-291. [Google Scholar] [CrossRef