Keywords: characterization; commutator; Hardy-Littlewood maximal function; Lipschitz space; Triebel-Lizorkin space
@article{10_21136_CMJ_2023_0116_22,
author = {Lu, Guanghui and Wang, Dinghuai},
title = {Characterizations of commutators of the {Hardy-Littlewood} maximal function on {Triebel-Lizorkin} spaces},
journal = {Czechoslovak Mathematical Journal},
pages = {513--524},
year = {2023},
volume = {73},
number = {2},
doi = {10.21136/CMJ.2023.0116-22},
mrnumber = {4586908},
zbl = {07729521},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.21136/CMJ.2023.0116-22/}
}
TY - JOUR AU - Lu, Guanghui AU - Wang, Dinghuai TI - Characterizations of commutators of the Hardy-Littlewood maximal function on Triebel-Lizorkin spaces JO - Czechoslovak Mathematical Journal PY - 2023 SP - 513 EP - 524 VL - 73 IS - 2 UR - http://geodesic.mathdoc.fr/articles/10.21136/CMJ.2023.0116-22/ DO - 10.21136/CMJ.2023.0116-22 LA - en ID - 10_21136_CMJ_2023_0116_22 ER -
%0 Journal Article %A Lu, Guanghui %A Wang, Dinghuai %T Characterizations of commutators of the Hardy-Littlewood maximal function on Triebel-Lizorkin spaces %J Czechoslovak Mathematical Journal %D 2023 %P 513-524 %V 73 %N 2 %U http://geodesic.mathdoc.fr/articles/10.21136/CMJ.2023.0116-22/ %R 10.21136/CMJ.2023.0116-22 %G en %F 10_21136_CMJ_2023_0116_22
Lu, Guanghui; Wang, Dinghuai. Characterizations of commutators of the Hardy-Littlewood maximal function on Triebel-Lizorkin spaces. Czechoslovak Mathematical Journal, Tome 73 (2023) no. 2, pp. 513-524. doi: 10.21136/CMJ.2023.0116-22
[1] Chaffee, L., Torres, R. H.: Characterization of compactness of the commutators of bilinear fractional integral operators. Potential Anal. 43 (2015), 481-494. | DOI | MR | JFM
[2] Coifman, R. R., Rochberg, R., Weiss, G.: Factorization theorems for Hardy spaces in several variables. Ann. Math. (2) 103 (1976), 611-635. | DOI | MR | JFM
[3] DeVore, R. A., Sharpley, R. C.: Maximal Functions Measuring Smoothness. Memoirs of the American Mathematical Society 293. AMS, Providence (1984). | DOI | MR | JFM
[4] Janson, S.: Mean oscillation and commutators of singular integral operators. Ark. Mat. 16 (1978), 263-270. | DOI | MR | JFM
[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. | DOI | MR | JFM
[6] Kato, T., Ponce, G.: Commutator estimates and the Euler and Navier-Stokes equations. Commun. Pure Appl. Math. 41 (1988), 891-907. | DOI | MR | JFM
[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. | DOI | MR | JFM
[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. | DOI | MR | JFM
[9] Triebel, H.: Theory of Function Spaces. Monographs in Mathematics 78. Birkhäuser, Basel (1983). | DOI | MR | JFM
[10] Triebel, H.: Theory of Function Spaces II. Monographs in Mathematics 84. Birkhäuser, Basel (1992). | DOI | MR | JFM
[11] Wang, D. H., Zhou, J., Teng, Z. D.: A note on Campanato spaces and their applications. Math. Notes 103 (2018), 483-489. | DOI | MR | JFM
[12] Zhang, P.: Multiple weighted estimates for commutators of multilinear maximal function. Acta Math. Sin., Engl. Ser. 31 (2015), 973-994. | DOI | MR | JFM
[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. | DOI | MR | JFM
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