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Title: Characterizations of commutators of the Hardy-Littlewood maximal function on Triebel-Lizorkin spaces (English)
Author: Lu, Guanghui
Author: Wang, Dinghuai
Language: English
Journal: Czechoslovak Mathematical Journal
ISSN: 0011-4642 (print)
ISSN: 1572-9141 (online)
Volume: 73
Issue: 2
Year: 2023
Pages: 513-524
Summary lang: English
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Category: math
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Summary: We study the mapping property of the commutator of Hardy-Littlewood maximal function on Triebel-Lizorkin spaces. Also, some new characterizations of the Lipschitz spaces are given. (English)
Keyword: characterization
Keyword: commutator
Keyword: Hardy-Littlewood maximal function
Keyword: Lipschitz space
Keyword: Triebel-Lizorkin space
MSC: 42B25
MSC: 47B25
MSC: 47B47
idZBL: Zbl 07729521
idMR: MR4586908
DOI: 10.21136/CMJ.2023.0116-22
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Date available: 2023-05-04T17:48:04Z
Last updated: 2023-09-13
Stable URL: http://hdl.handle.net/10338.dmlcz/151671
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Reference: [1] Chaffee, L., Torres, R. H.: Characterization of compactness of the commutators of bilinear fractional integral operators.Potential Anal. 43 (2015), 481-494. Zbl 1337.42010, MR 3430463, 10.1007/s11118-015-9481-6
Reference: [2] Coifman, R. R., Rochberg, R., Weiss, G.: Factorization theorems for Hardy spaces in several variables.Ann. Math. (2) 103 (1976), 611-635. Zbl 0326.32011, MR 0412721, 10.2307/1970954
Reference: [3] DeVore, R. A., Sharpley, R. C.: Maximal Functions Measuring Smoothness.Memoirs of the American Mathematical Society 293. AMS, Providence (1984). Zbl 0529.42005, MR 0727820, 10.1090/memo/0293
Reference: [4] Janson, S.: Mean oscillation and commutators of singular integral operators.Ark. Mat. 16 (1978), 263-270. Zbl 0404.42013, MR 0524754, 10.1007/BF02386000
Reference: [5] Janson, S., Taibleson, M., Weiss, G.: Elementary characterizations of the Morrey-Campanato spaces.Harmonic analysis Lecture Notes in Mathematics 992. Springer, Berlin (1983), 101-114. Zbl 0521.46022, MR 0729349, 10.1007/BFb0069154
Reference: [6] Kato, T., Ponce, G.: Commutator estimates and the Euler and Navier-Stokes equations.Commun. Pure Appl. Math. 41 (1988), 891-907. Zbl 0671.35066, MR 0951744, 10.1002/cpa.3160410704
Reference: [7] Lerner, A. K., Ombrosi, S., Pérez, C., Torres, R. H., Trujillo-González, R.: New maximal functions and multiple weights for the multilinear Calderón-Zygmund theory.Adv. Math. 220 (2009), 1222-1264. Zbl 1160.42009, MR 2483720, 10.1016/j.aim.2008.10.014
Reference: [8] Paluszyński, M.: Characterization of the Besov spaces via the commutator operator of Coifman, Rochberg and Weiss.Indiana Univ. Math. J. 44 (1995), 1-17. Zbl 0838.42006, MR 1336430, 10.1512/iumj.1995.44.1976
Reference: [9] Triebel, H.: Theory of Function Spaces.Monographs in Mathematics 78. Birkhäuser, Basel (1983). Zbl 0546.46027, MR 0781540, 10.1007/978-3-0346-0416-1
Reference: [10] Triebel, H.: Theory of Function Spaces II.Monographs in Mathematics 84. Birkhäuser, Basel (1992). Zbl 0763.46025, MR 1163193, 10.1007/978-3-0346-0419-2
Reference: [11] Wang, D. H., Zhou, J., Teng, Z. D.: A note on Campanato spaces and their applications.Math. Notes 103 (2018), 483-489. Zbl 1428.42044, MR 3789105, 10.1134/S0001434618030148
Reference: [12] Zhang, P.: Multiple weighted estimates for commutators of multilinear maximal function.Acta Math. Sin., Engl. Ser. 31 (2015), 973-994. Zbl 1325.42025, MR 3343963, 10.1007/s10114-015-4293-6
Reference: [13] Zhang, P.: Characterization of Lipschitz spaces via commutators of the Hardy-Littlewood maximal function.C. R., Math., Acad. Sci. Paris 355 (2017), 336-344. Zbl 1364.42026, MR 3621264, 10.1016/j.crma.2017.01.022
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