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分数次极大算子与Lipschitz函数生成的交换子的紧性

Compactness of Commutators Generated by Fractional Maximal Operators and Lipschitz Functions
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摘要 得到分数次极大算子与Lipschitz函数生成的交换子是Lp空间以及Morrey空间上的紧算子,且注意分数次积分算子的处理方法不适用于分数次极大算子. Operators and Lipschitz Functions In this paper, we obtain that the commutator generated by fractional maximal operator and Lipschitz function is a compact operator on L p space and Morrey space, and note that the method of fractional integral operator is not suitable for fractional maximal operator.
作者 谢雅丽 XIE Yali(Faculty of Humanistic Qualities,Hunan Technical College of Railway High-speed,Hengyang 421200,Hunan)
出处 《四川师范大学学报(自然科学版)》 CAS 2024年第3期422-426,共5页 Journal of Sichuan Normal University(Natural Science)
基金 湖南省教育厅科学研究项目(19C0692)。
关键词 交换子 紧性 分数次极大算子 LIPSCHITZ函数 MORREY空间 commutators compactness fractional maximal operators Lipschitz function Morrey spaces
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  • 1Coifman R. R., Rochberg R., Weiss G., Factorization theorems for Hardy spaces in several variables, Annals of Math., 1976, 103: 611-635.
  • 2Perez C., Trujillo-Gonealee R., Sharp weighted estimates for multilinear commutators, J. London Math. Soc., 2002, 65(2): 672-692.
  • 3Perez C., Endpoint estimates for commutators of singular integral operators, J. Functional Analysis, 1995, 128:163-185.
  • 4Segovia C., Torrea J. L., Vector-valued commutators and applications, Indiana University Math. J., 1989, 38(4): 959-971.
  • 5zhang P., Weighted estimates for multilinear commutators, Math. Nachr., 2006, 279(4): 445-462.
  • 6Milman M., Schonbek T., Second order estimates in interpolation theory and applications, Proc. Amer. Math. Soc., 1990, 110(4): 961-969.
  • 7Bastero J., Milman M., Ruiz F. J., Commutators for the maximal and sharp functions, Proc. Amer. Math. Soc., 2000, 128(11): 3329-3334.
  • 8Alvarez J, Bagby R, Kurtz D, et al. Weighted estimates for commutators of linear operators. Studia Math, 1993, 104 195 209.
  • 9B4nyi A, Dami~n W, Moen K, et al. Compact bilinear commutator: The weighted case. ArXiv:1310.6268, 2013.
  • 10Bourdaud G, de Cristoforis M L, Sickel W. Functional calculus on BMO and related spaces. J Funct Anal, 2002, 189 515-538.

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